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Finding the Third Proportional to 182,454.75 and 290,545.88

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Solution

The third proportional to 182,454.75 and 290,545.88 is: 462,673.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,454.75 : 290,545.88 = 290,545.88 : x
  2. Step 2: Convert to fraction form
    182,454.75/290,545.88 = 290,545.88/x
  3. Step 3: Cross multiply
    182,454.75x = 290,545.88 × 290,545.88
  4. Step 4: Simplify right side
    182,454.75x = 84,416,905,479.52
  5. Step 5: Solve for x
    x = 84,416,905,479.52/182,454.75
  6. Step 6: Final answer
    x = 462,673.10

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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.