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Finding the Third Proportional to 116,454 and 249,510

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Solution

The third proportional to 116,454 and 249,510 is: 534,590.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,454 : 249,510 = 249,510 : x
  2. Step 2: Convert to fraction form
    116,454/249,510 = 249,510/x
  3. Step 3: Cross multiply
    116,454x = 249,510 × 249,510
  4. Step 4: Simplify right side
    116,454x = 62,255,240,100
  5. Step 5: Solve for x
    x = 62,255,240,100/116,454
  6. Step 6: Final answer
    x = 534,590.83

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