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Finding the Third Proportional to 104,528 and 222,541

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Solution

The third proportional to 104,528 and 222,541 is: 473,791.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,528 : 222,541 = 222,541 : x
  2. Step 2: Convert to fraction form
    104,528/222,541 = 222,541/x
  3. Step 3: Cross multiply
    104,528x = 222,541 × 222,541
  4. Step 4: Simplify right side
    104,528x = 49,524,496,681
  5. Step 5: Solve for x
    x = 49,524,496,681/104,528
  6. Step 6: Final answer
    x = 473,791.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.