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Finding the Third Proportional to 217,488.50 and 332,733

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Solution

The third proportional to 217,488.50 and 332,733 is: 509,044.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,488.50 : 332,733 = 332,733 : x
  2. Step 2: Convert to fraction form
    217,488.50/332,733 = 332,733/x
  3. Step 3: Cross multiply
    217,488.50x = 332,733 × 332,733
  4. Step 4: Simplify right side
    217,488.50x = 110,711,249,289
  5. Step 5: Solve for x
    x = 110,711,249,289/217,488.50
  6. Step 6: Final answer
    x = 509,044.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.