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Finding the Third Proportional to 144,432 and 196,776

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Solution

The third proportional to 144,432 and 196,776 is: 268,090.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,432 : 196,776 = 196,776 : x
  2. Step 2: Convert to fraction form
    144,432/196,776 = 196,776/x
  3. Step 3: Cross multiply
    144,432x = 196,776 × 196,776
  4. Step 4: Simplify right side
    144,432x = 38,720,794,176
  5. Step 5: Solve for x
    x = 38,720,794,176/144,432
  6. Step 6: Final answer
    x = 268,090.13

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.