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Finding the Third Proportional to 178,147.16 and 371,037.27

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Solution

The third proportional to 178,147.16 and 371,037.27 is: 772,780.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,147.16 : 371,037.27 = 371,037.27 : x
  2. Step 2: Convert to fraction form
    178,147.16/371,037.27 = 371,037.27/x
  3. Step 3: Cross multiply
    178,147.16x = 371,037.27 × 371,037.27
  4. Step 4: Simplify right side
    178,147.16x = 137,668,655,381.21
  5. Step 5: Solve for x
    x = 137,668,655,381.21/178,147.16
  6. Step 6: Final answer
    x = 772,780.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.