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Finding the Third Proportional to 67,597.50 and 156,484

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Solution

The third proportional to 67,597.50 and 156,484 is: 362,250.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,597.50 : 156,484 = 156,484 : x
  2. Step 2: Convert to fraction form
    67,597.50/156,484 = 156,484/x
  3. Step 3: Cross multiply
    67,597.50x = 156,484 × 156,484
  4. Step 4: Simplify right side
    67,597.50x = 24,487,242,256
  5. Step 5: Solve for x
    x = 24,487,242,256/67,597.50
  6. Step 6: Final answer
    x = 362,250.71

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.