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Finding the Third Proportional to 178,593.75 and 242,548.88

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Solution

The third proportional to 178,593.75 and 242,548.88 is: 329,406.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,593.75 : 242,548.88 = 242,548.88 : x
  2. Step 2: Convert to fraction form
    178,593.75/242,548.88 = 242,548.88/x
  3. Step 3: Cross multiply
    178,593.75x = 242,548.88 × 242,548.88
  4. Step 4: Simplify right side
    178,593.75x = 58,829,956,763.77
  5. Step 5: Solve for x
    x = 58,829,956,763.77/178,593.75
  6. Step 6: Final answer
    x = 329,406.58

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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.