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Finding the Third Proportional to 147,570 and 326,151

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Solution

The third proportional to 147,570 and 326,151 is: 720,840.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,570 : 326,151 = 326,151 : x
  2. Step 2: Convert to fraction form
    147,570/326,151 = 326,151/x
  3. Step 3: Cross multiply
    147,570x = 326,151 × 326,151
  4. Step 4: Simplify right side
    147,570x = 106,374,474,801
  5. Step 5: Solve for x
    x = 106,374,474,801/147,570
  6. Step 6: Final answer
    x = 720,840.79

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.