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Finding the Third Proportional to 194,200.75 and 415,386.25

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Solution

The third proportional to 194,200.75 and 415,386.25 is: 888,491.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,200.75 : 415,386.25 = 415,386.25 : x
  2. Step 2: Convert to fraction form
    194,200.75/415,386.25 = 415,386.25/x
  3. Step 3: Cross multiply
    194,200.75x = 415,386.25 × 415,386.25
  4. Step 4: Simplify right side
    194,200.75x = 172,545,736,689.06
  5. Step 5: Solve for x
    x = 172,545,736,689.06/194,200.75
  6. Step 6: Final answer
    x = 888,491.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.