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Finding the Third Proportional to 181,915.88 and 392,262.75

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Solution

The third proportional to 181,915.88 and 392,262.75 is: 845,830.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,915.88 : 392,262.75 = 392,262.75 : x
  2. Step 2: Convert to fraction form
    181,915.88/392,262.75 = 392,262.75/x
  3. Step 3: Cross multiply
    181,915.88x = 392,262.75 × 392,262.75
  4. Step 4: Simplify right side
    181,915.88x = 153,870,065,037.56
  5. Step 5: Solve for x
    x = 153,870,065,037.56/181,915.88
  6. Step 6: Final answer
    x = 845,830.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.