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Finding the Third Proportional to 156,125.81 and 233,559.56

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Solution

The third proportional to 156,125.81 and 233,559.56 is: 349,398.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,125.81 : 233,559.56 = 233,559.56 : x
  2. Step 2: Convert to fraction form
    156,125.81/233,559.56 = 233,559.56/x
  3. Step 3: Cross multiply
    156,125.81x = 233,559.56 × 233,559.56
  4. Step 4: Simplify right side
    156,125.81x = 54,550,069,235.19
  5. Step 5: Solve for x
    x = 54,550,069,235.19/156,125.81
  6. Step 6: Final answer
    x = 349,398.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.