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Finding the Third Proportional to 165,565.50 and 357,588.75

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Solution

The third proportional to 165,565.50 and 357,588.75 is: 772,321.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,565.50 : 357,588.75 = 357,588.75 : x
  2. Step 2: Convert to fraction form
    165,565.50/357,588.75 = 357,588.75/x
  3. Step 3: Cross multiply
    165,565.50x = 357,588.75 × 357,588.75
  4. Step 4: Simplify right side
    165,565.50x = 127,869,714,126.56
  5. Step 5: Solve for x
    x = 127,869,714,126.56/165,565.50
  6. Step 6: Final answer
    x = 772,321.01

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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.