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Finding the Third Proportional to 147,098 and 317,518

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Solution

The third proportional to 147,098 and 317,518 is: 685,377.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,098 : 317,518 = 317,518 : x
  2. Step 2: Convert to fraction form
    147,098/317,518 = 317,518/x
  3. Step 3: Cross multiply
    147,098x = 317,518 × 317,518
  4. Step 4: Simplify right side
    147,098x = 100,817,680,324
  5. Step 5: Solve for x
    x = 100,817,680,324/147,098
  6. Step 6: Final answer
    x = 685,377.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.