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Finding the Third Proportional to 181,239.75 and 426,460.88

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Solution

The third proportional to 181,239.75 and 426,460.88 is: 1,003,471.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,239.75 : 426,460.88 = 426,460.88 : x
  2. Step 2: Convert to fraction form
    181,239.75/426,460.88 = 426,460.88/x
  3. Step 3: Cross multiply
    181,239.75x = 426,460.88 × 426,460.88
  4. Step 4: Simplify right side
    181,239.75x = 181,868,877,905.77
  5. Step 5: Solve for x
    x = 181,868,877,905.77/181,239.75
  6. Step 6: Final answer
    x = 1,003,471.25

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.