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Finding the Third Proportional to 178,438.50 and 242,224.88

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Solution

The third proportional to 178,438.50 and 242,224.88 is: 328,812.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,438.50 : 242,224.88 = 242,224.88 : x
  2. Step 2: Convert to fraction form
    178,438.50/242,224.88 = 242,224.88/x
  3. Step 3: Cross multiply
    178,438.50x = 242,224.88 × 242,224.88
  4. Step 4: Simplify right side
    178,438.50x = 58,672,890,068.77
  5. Step 5: Solve for x
    x = 58,672,890,068.77/178,438.50
  6. Step 6: Final answer
    x = 328,812.95

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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.