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Finding the Third Proportional to 232,778.81 and 359,647.59

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Solution

The third proportional to 232,778.81 and 359,647.59 is: 555,662.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,778.81 : 359,647.59 = 359,647.59 : x
  2. Step 2: Convert to fraction form
    232,778.81/359,647.59 = 359,647.59/x
  3. Step 3: Cross multiply
    232,778.81x = 359,647.59 × 359,647.59
  4. Step 4: Simplify right side
    232,778.81x = 129,346,391,690.17
  5. Step 5: Solve for x
    x = 129,346,391,690.17/232,778.81
  6. Step 6: Final answer
    x = 555,662.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.