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Finding the Third Proportional to 175,037.06 and 383,959.13

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Solution

The third proportional to 175,037.06 and 383,959.13 is: 842,247.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,037.06 : 383,959.13 = 383,959.13 : x
  2. Step 2: Convert to fraction form
    175,037.06/383,959.13 = 383,959.13/x
  3. Step 3: Cross multiply
    175,037.06x = 383,959.13 × 383,959.13
  4. Step 4: Simplify right side
    175,037.06x = 147,424,609,670.77
  5. Step 5: Solve for x
    x = 147,424,609,670.77/175,037.06
  6. Step 6: Final answer
    x = 842,247.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.