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Finding the Third Proportional to 147,304 and 197,628

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Solution

The third proportional to 147,304 and 197,628 is: 265,144.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,304 : 197,628 = 197,628 : x
  2. Step 2: Convert to fraction form
    147,304/197,628 = 197,628/x
  3. Step 3: Cross multiply
    147,304x = 197,628 × 197,628
  4. Step 4: Simplify right side
    147,304x = 39,056,826,384
  5. Step 5: Solve for x
    x = 39,056,826,384/147,304
  6. Step 6: Final answer
    x = 265,144.37

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.