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Finding the Third Proportional to 104,908 and 224,541

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Solution

The third proportional to 104,908 and 224,541 is: 480,598.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,908 : 224,541 = 224,541 : x
  2. Step 2: Convert to fraction form
    104,908/224,541 = 224,541/x
  3. Step 3: Cross multiply
    104,908x = 224,541 × 224,541
  4. Step 4: Simplify right side
    104,908x = 50,418,660,681
  5. Step 5: Solve for x
    x = 50,418,660,681/104,908
  6. Step 6: Final answer
    x = 480,598.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.