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Finding the Third Proportional to 232,719 and 360,310

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Solution

The third proportional to 232,719 and 360,310 is: 557,854.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,719 : 360,310 = 360,310 : x
  2. Step 2: Convert to fraction form
    232,719/360,310 = 360,310/x
  3. Step 3: Cross multiply
    232,719x = 360,310 × 360,310
  4. Step 4: Simplify right side
    232,719x = 129,823,296,100
  5. Step 5: Solve for x
    x = 129,823,296,100/232,719
  6. Step 6: Final answer
    x = 557,854.31

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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.