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Finding the Third Proportional to 158,341.50 and 232,319.25

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Solution

The third proportional to 158,341.50 and 232,319.25 is: 340,859.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,341.50 : 232,319.25 = 232,319.25 : x
  2. Step 2: Convert to fraction form
    158,341.50/232,319.25 = 232,319.25/x
  3. Step 3: Cross multiply
    158,341.50x = 232,319.25 × 232,319.25
  4. Step 4: Simplify right side
    158,341.50x = 53,972,233,920.56
  5. Step 5: Solve for x
    x = 53,972,233,920.56/158,341.50
  6. Step 6: Final answer
    x = 340,859.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.