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Finding the Third Proportional to 249,562 and 541,160

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Solution

The third proportional to 249,562 and 541,160 is: 1,173,472.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,562 : 541,160 = 541,160 : x
  2. Step 2: Convert to fraction form
    249,562/541,160 = 541,160/x
  3. Step 3: Cross multiply
    249,562x = 541,160 × 541,160
  4. Step 4: Simplify right side
    249,562x = 292,854,145,600
  5. Step 5: Solve for x
    x = 292,854,145,600/249,562
  6. Step 6: Final answer
    x = 1,173,472.51

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Why These Related Problems?

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