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Finding the Third Proportional to 130,952 and 196,210

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Solution

The third proportional to 130,952 and 196,210 is: 293,988.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,952 : 196,210 = 196,210 : x
  2. Step 2: Convert to fraction form
    130,952/196,210 = 196,210/x
  3. Step 3: Cross multiply
    130,952x = 196,210 × 196,210
  4. Step 4: Simplify right side
    130,952x = 38,498,364,100
  5. Step 5: Solve for x
    x = 38,498,364,100/130,952
  6. Step 6: Final answer
    x = 293,988.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.