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Finding the Third Proportional to 116,486 and 249,592

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Solution

The third proportional to 116,486 and 249,592 is: 534,795.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,486 : 249,592 = 249,592 : x
  2. Step 2: Convert to fraction form
    116,486/249,592 = 249,592/x
  3. Step 3: Cross multiply
    116,486x = 249,592 × 249,592
  4. Step 4: Simplify right side
    116,486x = 62,296,166,464
  5. Step 5: Solve for x
    x = 62,296,166,464/116,486
  6. Step 6: Final answer
    x = 534,795.31

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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.