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Finding the Third Proportional to 217,343 and 332,472.50

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Solution

The third proportional to 217,343 and 332,472.50 is: 508,587.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,343 : 332,472.50 = 332,472.50 : x
  2. Step 2: Convert to fraction form
    217,343/332,472.50 = 332,472.50/x
  3. Step 3: Cross multiply
    217,343x = 332,472.50 × 332,472.50
  4. Step 4: Simplify right side
    217,343x = 110,537,963,256.25
  5. Step 5: Solve for x
    x = 110,537,963,256.25/217,343
  6. Step 6: Final answer
    x = 508,587.64

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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.