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Finding the Third Proportional to 200,926 and 272,884

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Solution

The third proportional to 200,926 and 272,884 is: 370,612.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,926 : 272,884 = 272,884 : x
  2. Step 2: Convert to fraction form
    200,926/272,884 = 272,884/x
  3. Step 3: Cross multiply
    200,926x = 272,884 × 272,884
  4. Step 4: Simplify right side
    200,926x = 74,465,677,456
  5. Step 5: Solve for x
    x = 74,465,677,456/200,926
  6. Step 6: Final answer
    x = 370,612.45

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.