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Finding the Third Proportional to 119,537 and 251,314

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Solution

The third proportional to 119,537 and 251,314 is: 528,361.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,537 : 251,314 = 251,314 : x
  2. Step 2: Convert to fraction form
    119,537/251,314 = 251,314/x
  3. Step 3: Cross multiply
    119,537x = 251,314 × 251,314
  4. Step 4: Simplify right side
    119,537x = 63,158,726,596
  5. Step 5: Solve for x
    x = 63,158,726,596/119,537
  6. Step 6: Final answer
    x = 528,361.32

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.