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Finding the Third Proportional to 156,354 and 242,254

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Solution

The third proportional to 156,354 and 242,254 is: 375,346.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,354 : 242,254 = 242,254 : x
  2. Step 2: Convert to fraction form
    156,354/242,254 = 242,254/x
  3. Step 3: Cross multiply
    156,354x = 242,254 × 242,254
  4. Step 4: Simplify right side
    156,354x = 58,687,000,516
  5. Step 5: Solve for x
    x = 58,687,000,516/156,354
  6. Step 6: Final answer
    x = 375,346.97

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.