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Finding the Third Proportional to 175,613.06 and 380,751.05

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Solution

The third proportional to 175,613.06 and 380,751.05 is: 825,515.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,613.06 : 380,751.05 = 380,751.05 : x
  2. Step 2: Convert to fraction form
    175,613.06/380,751.05 = 380,751.05/x
  3. Step 3: Cross multiply
    175,613.06x = 380,751.05 × 380,751.05
  4. Step 4: Simplify right side
    175,613.06x = 144,971,359,696.41
  5. Step 5: Solve for x
    x = 144,971,359,696.41/175,613.06
  6. Step 6: Final answer
    x = 825,515.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.