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Finding the Third Proportional to 178,605 and 242,565.50

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Solution

The third proportional to 178,605 and 242,565.50 is: 329,430.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,605 : 242,565.50 = 242,565.50 : x
  2. Step 2: Convert to fraction form
    178,605/242,565.50 = 242,565.50/x
  3. Step 3: Cross multiply
    178,605x = 242,565.50 × 242,565.50
  4. Step 4: Simplify right side
    178,605x = 58,838,021,790.25
  5. Step 5: Solve for x
    x = 58,838,021,790.25/178,605
  6. Step 6: Final answer
    x = 329,430.99

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