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Finding the Third Proportional to 175,467.94 and 278,920.13

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Solution

The third proportional to 175,467.94 and 278,920.13 is: 443,365.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,467.94 : 278,920.13 = 278,920.13 : x
  2. Step 2: Convert to fraction form
    175,467.94/278,920.13 = 278,920.13/x
  3. Step 3: Cross multiply
    175,467.94x = 278,920.13 × 278,920.13
  4. Step 4: Simplify right side
    175,467.94x = 77,796,436,130.02
  5. Step 5: Solve for x
    x = 77,796,436,130.02/175,467.94
  6. Step 6: Final answer
    x = 443,365.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.