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Finding the Third Proportional to 134,557 and 317,188

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Solution

The third proportional to 134,557 and 317,188 is: 747,699.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,557 : 317,188 = 317,188 : x
  2. Step 2: Convert to fraction form
    134,557/317,188 = 317,188/x
  3. Step 3: Cross multiply
    134,557x = 317,188 × 317,188
  4. Step 4: Simplify right side
    134,557x = 100,608,227,344
  5. Step 5: Solve for x
    x = 100,608,227,344/134,557
  6. Step 6: Final answer
    x = 747,699.69

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.