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Finding the Third Proportional to 185,074.88 and 403,319.25

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Solution

The third proportional to 185,074.88 and 403,319.25 is: 878,922.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,074.88 : 403,319.25 = 403,319.25 : x
  2. Step 2: Convert to fraction form
    185,074.88/403,319.25 = 403,319.25/x
  3. Step 3: Cross multiply
    185,074.88x = 403,319.25 × 403,319.25
  4. Step 4: Simplify right side
    185,074.88x = 162,666,417,420.56
  5. Step 5: Solve for x
    x = 162,666,417,420.56/185,074.88
  6. Step 6: Final answer
    x = 878,922.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.