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Finding the Third Proportional to 181,624 and 283,475

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Solution

The third proportional to 181,624 and 283,475 is: 442,441.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,624 : 283,475 = 283,475 : x
  2. Step 2: Convert to fraction form
    181,624/283,475 = 283,475/x
  3. Step 3: Cross multiply
    181,624x = 283,475 × 283,475
  4. Step 4: Simplify right side
    181,624x = 80,358,075,625
  5. Step 5: Solve for x
    x = 80,358,075,625/181,624
  6. Step 6: Final answer
    x = 442,441.94

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.