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Finding the Third Proportional to 165,810.50 and 355,279.75

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Solution

The third proportional to 165,810.50 and 355,279.75 is: 761,252.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,810.50 : 355,279.75 = 355,279.75 : x
  2. Step 2: Convert to fraction form
    165,810.50/355,279.75 = 355,279.75/x
  3. Step 3: Cross multiply
    165,810.50x = 355,279.75 × 355,279.75
  4. Step 4: Simplify right side
    165,810.50x = 126,223,700,760.06
  5. Step 5: Solve for x
    x = 126,223,700,760.06/165,810.50
  6. Step 6: Final answer
    x = 761,252.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.