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Finding the Third Proportional to 153,193 and 224,637

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Solution

The third proportional to 153,193 and 224,637 is: 329,400.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,193 : 224,637 = 224,637 : x
  2. Step 2: Convert to fraction form
    153,193/224,637 = 224,637/x
  3. Step 3: Cross multiply
    153,193x = 224,637 × 224,637
  4. Step 4: Simplify right side
    153,193x = 50,461,781,769
  5. Step 5: Solve for x
    x = 50,461,781,769/153,193
  6. Step 6: Final answer
    x = 329,400.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.