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Finding the Third Proportional to 176,281.31 and 380,613.94

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Solution

The third proportional to 176,281.31 and 380,613.94 is: 821,794.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,281.31 : 380,613.94 = 380,613.94 : x
  2. Step 2: Convert to fraction form
    176,281.31/380,613.94 = 380,613.94/x
  3. Step 3: Cross multiply
    176,281.31x = 380,613.94 × 380,613.94
  4. Step 4: Simplify right side
    176,281.31x = 144,866,969,419.25
  5. Step 5: Solve for x
    x = 144,866,969,419.25/176,281.31
  6. Step 6: Final answer
    x = 821,794.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.