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Finding the Third Proportional to 165,487.50 and 335,486.25

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Solution

The third proportional to 165,487.50 and 335,486.25 is: 680,117.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,487.50 : 335,486.25 = 335,486.25 : x
  2. Step 2: Convert to fraction form
    165,487.50/335,486.25 = 335,486.25/x
  3. Step 3: Cross multiply
    165,487.50x = 335,486.25 × 335,486.25
  4. Step 4: Simplify right side
    165,487.50x = 112,551,023,939.06
  5. Step 5: Solve for x
    x = 112,551,023,939.06/165,487.50
  6. Step 6: Final answer
    x = 680,117.98

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.