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Finding the Third Proportional to 271,901.81 and 551,397.38

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Solution

The third proportional to 271,901.81 and 551,397.38 is: 1,118,194.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,901.81 : 551,397.38 = 551,397.38 : x
  2. Step 2: Convert to fraction form
    271,901.81/551,397.38 = 551,397.38/x
  3. Step 3: Cross multiply
    271,901.81x = 551,397.38 × 551,397.38
  4. Step 4: Simplify right side
    271,901.81x = 304,039,065,156.89
  5. Step 5: Solve for x
    x = 304,039,065,156.89/271,901.81
  6. Step 6: Final answer
    x = 1,118,194.33

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.