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Finding the Third Proportional to 178,464 and 237,920

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Solution

The third proportional to 178,464 and 237,920 is: 317,184.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,464 : 237,920 = 237,920 : x
  2. Step 2: Convert to fraction form
    178,464/237,920 = 237,920/x
  3. Step 3: Cross multiply
    178,464x = 237,920 × 237,920
  4. Step 4: Simplify right side
    178,464x = 56,605,926,400
  5. Step 5: Solve for x
    x = 56,605,926,400/178,464
  6. Step 6: Final answer
    x = 317,184.01

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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.