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Finding the Third Proportional to 145,657 and 196,793

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Solution

The third proportional to 145,657 and 196,793 is: 265,881.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,657 : 196,793 = 196,793 : x
  2. Step 2: Convert to fraction form
    145,657/196,793 = 196,793/x
  3. Step 3: Cross multiply
    145,657x = 196,793 × 196,793
  4. Step 4: Simplify right side
    145,657x = 38,727,484,849
  5. Step 5: Solve for x
    x = 38,727,484,849/145,657
  6. Step 6: Final answer
    x = 265,881.38

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.