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Finding the Third Proportional to 115,114 and 249,436

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Solution

The third proportional to 115,114 and 249,436 is: 540,493.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,114 : 249,436 = 249,436 : x
  2. Step 2: Convert to fraction form
    115,114/249,436 = 249,436/x
  3. Step 3: Cross multiply
    115,114x = 249,436 × 249,436
  4. Step 4: Simplify right side
    115,114x = 62,218,318,096
  5. Step 5: Solve for x
    x = 62,218,318,096/115,114
  6. Step 6: Final answer
    x = 540,493.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.