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Finding the Third Proportional to 156,061.50 and 241,506

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Solution

The third proportional to 156,061.50 and 241,506 is: 373,731.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,061.50 : 241,506 = 241,506 : x
  2. Step 2: Convert to fraction form
    156,061.50/241,506 = 241,506/x
  3. Step 3: Cross multiply
    156,061.50x = 241,506 × 241,506
  4. Step 4: Simplify right side
    156,061.50x = 58,325,148,036
  5. Step 5: Solve for x
    x = 58,325,148,036/156,061.50
  6. Step 6: Final answer
    x = 373,731.82

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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.