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Finding the Third Proportional to 147,232 and 196,160

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Solution

The third proportional to 147,232 and 196,160 is: 261,347.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,232 : 196,160 = 196,160 : x
  2. Step 2: Convert to fraction form
    147,232/196,160 = 196,160/x
  3. Step 3: Cross multiply
    147,232x = 196,160 × 196,160
  4. Step 4: Simplify right side
    147,232x = 38,478,745,600
  5. Step 5: Solve for x
    x = 38,478,745,600/147,232
  6. Step 6: Final answer
    x = 261,347.71

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.