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Finding the Third Proportional to 72,588.38 and 156,301.88

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Solution

The third proportional to 72,588.38 and 156,301.88 is: 336,559.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,588.38 : 156,301.88 = 156,301.88 : x
  2. Step 2: Convert to fraction form
    72,588.38/156,301.88 = 156,301.88/x
  3. Step 3: Cross multiply
    72,588.38x = 156,301.88 × 156,301.88
  4. Step 4: Simplify right side
    72,588.38x = 24,430,276,128.52
  5. Step 5: Solve for x
    x = 24,430,276,128.52/72,588.38
  6. Step 6: Final answer
    x = 336,559.07

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.