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Finding the Third Proportional to 156,962.81 and 224,167.50

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Solution

The third proportional to 156,962.81 and 224,167.50 is: 320,146.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,962.81 : 224,167.50 = 224,167.50 : x
  2. Step 2: Convert to fraction form
    156,962.81/224,167.50 = 224,167.50/x
  3. Step 3: Cross multiply
    156,962.81x = 224,167.50 × 224,167.50
  4. Step 4: Simplify right side
    156,962.81x = 50,251,068,056.25
  5. Step 5: Solve for x
    x = 50,251,068,056.25/156,962.81
  6. Step 6: Final answer
    x = 320,146.33

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.