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Finding the Third Proportional to 130,304 and 196,548

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Solution

The third proportional to 130,304 and 196,548 is: 296,469.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,304 : 196,548 = 196,548 : x
  2. Step 2: Convert to fraction form
    130,304/196,548 = 196,548/x
  3. Step 3: Cross multiply
    130,304x = 196,548 × 196,548
  4. Step 4: Simplify right side
    130,304x = 38,631,116,304
  5. Step 5: Solve for x
    x = 38,631,116,304/130,304
  6. Step 6: Final answer
    x = 296,469.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.