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Finding the Third Proportional to 178,592 and 242,550

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Solution

The third proportional to 178,592 and 242,550 is: 329,412.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,592 : 242,550 = 242,550 : x
  2. Step 2: Convert to fraction form
    178,592/242,550 = 242,550/x
  3. Step 3: Cross multiply
    178,592x = 242,550 × 242,550
  4. Step 4: Simplify right side
    178,592x = 58,830,502,500
  5. Step 5: Solve for x
    x = 58,830,502,500/178,592
  6. Step 6: Final answer
    x = 329,412.87

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.