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Finding the Third Proportional to 179,552.53 and 385,565.06

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Solution

The third proportional to 179,552.53 and 385,565.06 is: 827,949.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,552.53 : 385,565.06 = 385,565.06 : x
  2. Step 2: Convert to fraction form
    179,552.53/385,565.06 = 385,565.06/x
  3. Step 3: Cross multiply
    179,552.53x = 385,565.06 × 385,565.06
  4. Step 4: Simplify right side
    179,552.53x = 148,660,417,420.63
  5. Step 5: Solve for x
    x = 148,660,417,420.63/179,552.53
  6. Step 6: Final answer
    x = 827,949.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.