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Finding the Third Proportional to 213,730 and 332,262

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Solution

The third proportional to 213,730 and 332,262 is: 516,530.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,730 : 332,262 = 332,262 : x
  2. Step 2: Convert to fraction form
    213,730/332,262 = 332,262/x
  3. Step 3: Cross multiply
    213,730x = 332,262 × 332,262
  4. Step 4: Simplify right side
    213,730x = 110,398,036,644
  5. Step 5: Solve for x
    x = 110,398,036,644/213,730
  6. Step 6: Final answer
    x = 516,530.37

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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.