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Finding the Third Proportional to 116,506 and 249,612

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Solution

The third proportional to 116,506 and 249,612 is: 534,789.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,506 : 249,612 = 249,612 : x
  2. Step 2: Convert to fraction form
    116,506/249,612 = 249,612/x
  3. Step 3: Cross multiply
    116,506x = 249,612 × 249,612
  4. Step 4: Simplify right side
    116,506x = 62,306,150,544
  5. Step 5: Solve for x
    x = 62,306,150,544/116,506
  6. Step 6: Final answer
    x = 534,789.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.