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Finding the Third Proportional to 179,590.13 and 270,139.41

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Solution

The third proportional to 179,590.13 and 270,139.41 is: 406,343.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,590.13 : 270,139.41 = 270,139.41 : x
  2. Step 2: Convert to fraction form
    179,590.13/270,139.41 = 270,139.41/x
  3. Step 3: Cross multiply
    179,590.13x = 270,139.41 × 270,139.41
  4. Step 4: Simplify right side
    179,590.13x = 72,975,298,809.10
  5. Step 5: Solve for x
    x = 72,975,298,809.10/179,590.13
  6. Step 6: Final answer
    x = 406,343.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.