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Finding the Third Proportional to 182,488.50 and 290,593.50

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Solution

The third proportional to 182,488.50 and 290,593.50 is: 462,739.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,488.50 : 290,593.50 = 290,593.50 : x
  2. Step 2: Convert to fraction form
    182,488.50/290,593.50 = 290,593.50/x
  3. Step 3: Cross multiply
    182,488.50x = 290,593.50 × 290,593.50
  4. Step 4: Simplify right side
    182,488.50x = 84,444,582,242.25
  5. Step 5: Solve for x
    x = 84,444,582,242.25/182,488.50
  6. Step 6: Final answer
    x = 462,739.20

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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.