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Finding the Third Proportional to 232,497.75 and 359,298

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Solution

The third proportional to 232,497.75 and 359,298 is: 555,252.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,497.75 : 359,298 = 359,298 : x
  2. Step 2: Convert to fraction form
    232,497.75/359,298 = 359,298/x
  3. Step 3: Cross multiply
    232,497.75x = 359,298 × 359,298
  4. Step 4: Simplify right side
    232,497.75x = 129,095,052,804
  5. Step 5: Solve for x
    x = 129,095,052,804/232,497.75
  6. Step 6: Final answer
    x = 555,252.91

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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.