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Finding the Third Proportional to 114,730 and 251,621

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Solution

The third proportional to 114,730 and 251,621 is: 551,844.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,730 : 251,621 = 251,621 : x
  2. Step 2: Convert to fraction form
    114,730/251,621 = 251,621/x
  3. Step 3: Cross multiply
    114,730x = 251,621 × 251,621
  4. Step 4: Simplify right side
    114,730x = 63,313,127,641
  5. Step 5: Solve for x
    x = 63,313,127,641/114,730
  6. Step 6: Final answer
    x = 551,844.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.