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Finding the Third Proportional to 169,358.06 and 232,232.06

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Solution

The third proportional to 169,358.06 and 232,232.06 is: 318,447.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,358.06 : 232,232.06 = 232,232.06 : x
  2. Step 2: Convert to fraction form
    169,358.06/232,232.06 = 232,232.06/x
  3. Step 3: Cross multiply
    169,358.06x = 232,232.06 × 232,232.06
  4. Step 4: Simplify right side
    169,358.06x = 53,931,730,853.00
  5. Step 5: Solve for x
    x = 53,931,730,853.00/169,358.06
  6. Step 6: Final answer
    x = 318,447.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.