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Finding the Third Proportional to 151,897.88 and 332,388.38

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Solution

The third proportional to 151,897.88 and 332,388.38 is: 727,344.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,897.88 : 332,388.38 = 332,388.38 : x
  2. Step 2: Convert to fraction form
    151,897.88/332,388.38 = 332,388.38/x
  3. Step 3: Cross multiply
    151,897.88x = 332,388.38 × 332,388.38
  4. Step 4: Simplify right side
    151,897.88x = 110,482,031,835.14
  5. Step 5: Solve for x
    x = 110,482,031,835.14/151,897.88
  6. Step 6: Final answer
    x = 727,344.16

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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.