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Finding the Third Proportional to 249,535.13 and 541,108.69

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Solution

The third proportional to 249,535.13 and 541,108.69 is: 1,173,376.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,535.13 : 541,108.69 = 541,108.69 : x
  2. Step 2: Convert to fraction form
    249,535.13/541,108.69 = 541,108.69/x
  3. Step 3: Cross multiply
    249,535.13x = 541,108.69 × 541,108.69
  4. Step 4: Simplify right side
    249,535.13x = 292,798,611,687.97
  5. Step 5: Solve for x
    x = 292,798,611,687.97/249,535.13
  6. Step 6: Final answer
    x = 1,173,376.34

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