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Finding the Third Proportional to 147,954 and 325,374

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Solution

The third proportional to 147,954 and 325,374 is: 715,548.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,954 : 325,374 = 325,374 : x
  2. Step 2: Convert to fraction form
    147,954/325,374 = 325,374/x
  3. Step 3: Cross multiply
    147,954x = 325,374 × 325,374
  4. Step 4: Simplify right side
    147,954x = 105,868,239,876
  5. Step 5: Solve for x
    x = 105,868,239,876/147,954
  6. Step 6: Final answer
    x = 715,548.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.