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Finding the Third Proportional to 165,810.38 and 355,279.08

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Solution

The third proportional to 165,810.38 and 355,279.08 is: 761,250.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,810.38 : 355,279.08 = 355,279.08 : x
  2. Step 2: Convert to fraction form
    165,810.38/355,279.08 = 355,279.08/x
  3. Step 3: Cross multiply
    165,810.38x = 355,279.08 × 355,279.08
  4. Step 4: Simplify right side
    165,810.38x = 126,223,223,353.35
  5. Step 5: Solve for x
    x = 126,223,223,353.35/165,810.38
  6. Step 6: Final answer
    x = 761,250.45

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