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Finding the Third Proportional to 147,566.50 and 223,105

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Solution

The third proportional to 147,566.50 and 223,105 is: 337,311.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,566.50 : 223,105 = 223,105 : x
  2. Step 2: Convert to fraction form
    147,566.50/223,105 = 223,105/x
  3. Step 3: Cross multiply
    147,566.50x = 223,105 × 223,105
  4. Step 4: Simplify right side
    147,566.50x = 49,775,841,025
  5. Step 5: Solve for x
    x = 49,775,841,025/147,566.50
  6. Step 6: Final answer
    x = 337,311.25

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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.