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Finding the Third Proportional to 181,397.81 and 423,592.88

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Solution

The third proportional to 181,397.81 and 423,592.88 is: 989,157.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,397.81 : 423,592.88 = 423,592.88 : x
  2. Step 2: Convert to fraction form
    181,397.81/423,592.88 = 423,592.88/x
  3. Step 3: Cross multiply
    181,397.81x = 423,592.88 × 423,592.88
  4. Step 4: Simplify right side
    181,397.81x = 179,430,923,750.77
  5. Step 5: Solve for x
    x = 179,430,923,750.77/181,397.81
  6. Step 6: Final answer
    x = 989,157.04

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.