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Finding the Third Proportional to 104,246 and 224,712

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Solution

The third proportional to 104,246 and 224,712 is: 484,387.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,246 : 224,712 = 224,712 : x
  2. Step 2: Convert to fraction form
    104,246/224,712 = 224,712/x
  3. Step 3: Cross multiply
    104,246x = 224,712 × 224,712
  4. Step 4: Simplify right side
    104,246x = 50,495,482,944
  5. Step 5: Solve for x
    x = 50,495,482,944/104,246
  6. Step 6: Final answer
    x = 484,387.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.