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Finding the Third Proportional to 147,227.63 and 221,950.13

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Solution

The third proportional to 147,227.63 and 221,950.13 is: 334,596.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,227.63 : 221,950.13 = 221,950.13 : x
  2. Step 2: Convert to fraction form
    147,227.63/221,950.13 = 221,950.13/x
  3. Step 3: Cross multiply
    147,227.63x = 221,950.13 × 221,950.13
  4. Step 4: Simplify right side
    147,227.63x = 49,261,857,987.52
  5. Step 5: Solve for x
    x = 49,261,857,987.52/147,227.63
  6. Step 6: Final answer
    x = 334,596.57

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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.