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Finding the Third Proportional to 130,206 and 196,707

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Solution

The third proportional to 130,206 and 196,707 is: 297,172.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,206 : 196,707 = 196,707 : x
  2. Step 2: Convert to fraction form
    130,206/196,707 = 196,707/x
  3. Step 3: Cross multiply
    130,206x = 196,707 × 196,707
  4. Step 4: Simplify right side
    130,206x = 38,693,643,849
  5. Step 5: Solve for x
    x = 38,693,643,849/130,206
  6. Step 6: Final answer
    x = 297,172.51

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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.