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Finding the Third Proportional to 160,251 and 249,117

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Solution

The third proportional to 160,251 and 249,117 is: 387,262.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,251 : 249,117 = 249,117 : x
  2. Step 2: Convert to fraction form
    160,251/249,117 = 249,117/x
  3. Step 3: Cross multiply
    160,251x = 249,117 × 249,117
  4. Step 4: Simplify right side
    160,251x = 62,059,279,689
  5. Step 5: Solve for x
    x = 62,059,279,689/160,251
  6. Step 6: Final answer
    x = 387,262.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.