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Finding the Third Proportional to 169,542 and 249,117

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Solution

The third proportional to 169,542 and 249,117 is: 366,040.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,542 : 249,117 = 249,117 : x
  2. Step 2: Convert to fraction form
    169,542/249,117 = 249,117/x
  3. Step 3: Cross multiply
    169,542x = 249,117 × 249,117
  4. Step 4: Simplify right side
    169,542x = 62,059,279,689
  5. Step 5: Solve for x
    x = 62,059,279,689/169,542
  6. Step 6: Final answer
    x = 366,040.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.