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Finding the Third Proportional to 130,162.50 and 196,630

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Solution

The third proportional to 130,162.50 and 196,630 is: 297,039.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,162.50 : 196,630 = 196,630 : x
  2. Step 2: Convert to fraction form
    130,162.50/196,630 = 196,630/x
  3. Step 3: Cross multiply
    130,162.50x = 196,630 × 196,630
  4. Step 4: Simplify right side
    130,162.50x = 38,663,356,900
  5. Step 5: Solve for x
    x = 38,663,356,900/130,162.50
  6. Step 6: Final answer
    x = 297,039.14

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