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Finding the Third Proportional to 147,352.50 and 221,889.38

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Solution

The third proportional to 147,352.50 and 221,889.38 is: 334,130.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,352.50 : 221,889.38 = 221,889.38 : x
  2. Step 2: Convert to fraction form
    147,352.50/221,889.38 = 221,889.38/x
  3. Step 3: Cross multiply
    147,352.50x = 221,889.38 × 221,889.38
  4. Step 4: Simplify right side
    147,352.50x = 49,234,894,737.89
  5. Step 5: Solve for x
    x = 49,234,894,737.89/147,352.50
  6. Step 6: Final answer
    x = 334,130.03

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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.