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Finding the Third Proportional to 147,465.56 and 221,928.19

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Solution

The third proportional to 147,465.56 and 221,928.19 is: 333,990.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,465.56 : 221,928.19 = 221,928.19 : x
  2. Step 2: Convert to fraction form
    147,465.56/221,928.19 = 221,928.19/x
  3. Step 3: Cross multiply
    147,465.56x = 221,928.19 × 221,928.19
  4. Step 4: Simplify right side
    147,465.56x = 49,252,120,407.04
  5. Step 5: Solve for x
    x = 49,252,120,407.04/147,465.56
  6. Step 6: Final answer
    x = 333,990.66

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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.