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Finding the Third Proportional to 151,851 and 332,304

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Solution

The third proportional to 151,851 and 332,304 is: 727,199.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,851 : 332,304 = 332,304 : x
  2. Step 2: Convert to fraction form
    151,851/332,304 = 332,304/x
  3. Step 3: Cross multiply
    151,851x = 332,304 × 332,304
  4. Step 4: Simplify right side
    151,851x = 110,425,948,416
  5. Step 5: Solve for x
    x = 110,425,948,416/151,851
  6. Step 6: Final answer
    x = 727,199.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.