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Finding the Third Proportional to 193,232 and 409,720

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Solution

The third proportional to 193,232 and 409,720 is: 868,750.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,232 : 409,720 = 409,720 : x
  2. Step 2: Convert to fraction form
    193,232/409,720 = 409,720/x
  3. Step 3: Cross multiply
    193,232x = 409,720 × 409,720
  4. Step 4: Simplify right side
    193,232x = 167,870,478,400
  5. Step 5: Solve for x
    x = 167,870,478,400/193,232
  6. Step 6: Final answer
    x = 868,750.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.