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Finding the Third Proportional to 232,711 and 360,298

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Solution

The third proportional to 232,711 and 360,298 is: 557,836.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,711 : 360,298 = 360,298 : x
  2. Step 2: Convert to fraction form
    232,711/360,298 = 360,298/x
  3. Step 3: Cross multiply
    232,711x = 360,298 × 360,298
  4. Step 4: Simplify right side
    232,711x = 129,814,648,804
  5. Step 5: Solve for x
    x = 129,814,648,804/232,711
  6. Step 6: Final answer
    x = 557,836.32

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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.