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Finding the Third Proportional to 132,870 and 221,449.50

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Solution

The third proportional to 132,870 and 221,449.50 is: 369,081.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,870 : 221,449.50 = 221,449.50 : x
  2. Step 2: Convert to fraction form
    132,870/221,449.50 = 221,449.50/x
  3. Step 3: Cross multiply
    132,870x = 221,449.50 × 221,449.50
  4. Step 4: Simplify right side
    132,870x = 49,039,881,050.25
  5. Step 5: Solve for x
    x = 49,039,881,050.25/132,870
  6. Step 6: Final answer
    x = 369,081.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.