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Finding the Third Proportional to 165,559.50 and 357,616.13

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Solution

The third proportional to 165,559.50 and 357,616.13 is: 772,467.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,559.50 : 357,616.13 = 357,616.13 : x
  2. Step 2: Convert to fraction form
    165,559.50/357,616.13 = 357,616.13/x
  3. Step 3: Cross multiply
    165,559.50x = 357,616.13 × 357,616.13
  4. Step 4: Simplify right side
    165,559.50x = 127,889,292,860.02
  5. Step 5: Solve for x
    x = 127,889,292,860.02/165,559.50
  6. Step 6: Final answer
    x = 772,467.26

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.