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Finding the Third Proportional to 147,721.88 and 221,528.63

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Solution

The third proportional to 147,721.88 and 221,528.63 is: 332,211.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,721.88 : 221,528.63 = 221,528.63 : x
  2. Step 2: Convert to fraction form
    147,721.88/221,528.63 = 221,528.63/x
  3. Step 3: Cross multiply
    147,721.88x = 221,528.63 × 221,528.63
  4. Step 4: Simplify right side
    147,721.88x = 49,074,931,694.39
  5. Step 5: Solve for x
    x = 49,074,931,694.39/147,721.88
  6. Step 6: Final answer
    x = 332,211.68

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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.