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Finding the Third Proportional to 155,601 and 316,908

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Solution

The third proportional to 155,601 and 316,908 is: 645,437.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,601 : 316,908 = 316,908 : x
  2. Step 2: Convert to fraction form
    155,601/316,908 = 316,908/x
  3. Step 3: Cross multiply
    155,601x = 316,908 × 316,908
  4. Step 4: Simplify right side
    155,601x = 100,430,680,464
  5. Step 5: Solve for x
    x = 100,430,680,464/155,601
  6. Step 6: Final answer
    x = 645,437.24

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.