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Finding the Third Proportional to 178,475 and 237,921

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Solution

The third proportional to 178,475 and 237,921 is: 317,167.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,475 : 237,921 = 237,921 : x
  2. Step 2: Convert to fraction form
    178,475/237,921 = 237,921/x
  3. Step 3: Cross multiply
    178,475x = 237,921 × 237,921
  4. Step 4: Simplify right side
    178,475x = 56,606,402,241
  5. Step 5: Solve for x
    x = 56,606,402,241/178,475
  6. Step 6: Final answer
    x = 317,167.12

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.