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Finding the Third Proportional to 147,384.56 and 223,813.13

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Solution

The third proportional to 147,384.56 and 223,813.13 is: 339,874.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,384.56 : 223,813.13 = 223,813.13 : x
  2. Step 2: Convert to fraction form
    147,384.56/223,813.13 = 223,813.13/x
  3. Step 3: Cross multiply
    147,384.56x = 223,813.13 × 223,813.13
  4. Step 4: Simplify right side
    147,384.56x = 50,092,314,922.27
  5. Step 5: Solve for x
    x = 50,092,314,922.27/147,384.56
  6. Step 6: Final answer
    x = 339,874.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.