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Finding the Third Proportional to 165,870.28 and 250,176.09

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Solution

The third proportional to 165,870.28 and 250,176.09 is: 377,331.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,870.28 : 250,176.09 = 250,176.09 : x
  2. Step 2: Convert to fraction form
    165,870.28/250,176.09 = 250,176.09/x
  3. Step 3: Cross multiply
    165,870.28x = 250,176.09 × 250,176.09
  4. Step 4: Simplify right side
    165,870.28x = 62,588,077,884.01
  5. Step 5: Solve for x
    x = 62,588,077,884.01/165,870.28
  6. Step 6: Final answer
    x = 377,331.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.