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Finding the Third Proportional to 153,023.81 and 232,921.13

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Solution

The third proportional to 153,023.81 and 232,921.13 is: 354,534.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,023.81 : 232,921.13 = 232,921.13 : x
  2. Step 2: Convert to fraction form
    153,023.81/232,921.13 = 232,921.13/x
  3. Step 3: Cross multiply
    153,023.81x = 232,921.13 × 232,921.13
  4. Step 4: Simplify right side
    153,023.81x = 54,252,250,471.27
  5. Step 5: Solve for x
    x = 54,252,250,471.27/153,023.81
  6. Step 6: Final answer
    x = 354,534.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.