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Finding the Third Proportional to 104,258 and 225,048

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Solution

The third proportional to 104,258 and 225,048 is: 485,781.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,258 : 225,048 = 225,048 : x
  2. Step 2: Convert to fraction form
    104,258/225,048 = 225,048/x
  3. Step 3: Cross multiply
    104,258x = 225,048 × 225,048
  4. Step 4: Simplify right side
    104,258x = 50,646,602,304
  5. Step 5: Solve for x
    x = 50,646,602,304/104,258
  6. Step 6: Final answer
    x = 485,781.45

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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.