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Finding the Third Proportional to 182,456.63 and 290,548.88

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Solution

The third proportional to 182,456.63 and 290,548.88 is: 462,677.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,456.63 : 290,548.88 = 290,548.88 : x
  2. Step 2: Convert to fraction form
    182,456.63/290,548.88 = 290,548.88/x
  3. Step 3: Cross multiply
    182,456.63x = 290,548.88 × 290,548.88
  4. Step 4: Simplify right side
    182,456.63x = 84,418,648,763.77
  5. Step 5: Solve for x
    x = 84,418,648,763.77/182,456.63
  6. Step 6: Final answer
    x = 462,677.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.