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Finding the Third Proportional to 116,464 and 249,530

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Solution

The third proportional to 116,464 and 249,530 is: 534,630.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,464 : 249,530 = 249,530 : x
  2. Step 2: Convert to fraction form
    116,464/249,530 = 249,530/x
  3. Step 3: Cross multiply
    116,464x = 249,530 × 249,530
  4. Step 4: Simplify right side
    116,464x = 62,265,220,900
  5. Step 5: Solve for x
    x = 62,265,220,900/116,464
  6. Step 6: Final answer
    x = 534,630.62

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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.