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Finding the Third Proportional to 165,621.75 and 357,486.75

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Solution

The third proportional to 165,621.75 and 357,486.75 is: 771,618.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,621.75 : 357,486.75 = 357,486.75 : x
  2. Step 2: Convert to fraction form
    165,621.75/357,486.75 = 357,486.75/x
  3. Step 3: Cross multiply
    165,621.75x = 357,486.75 × 357,486.75
  4. Step 4: Simplify right side
    165,621.75x = 127,796,776,425.56
  5. Step 5: Solve for x
    x = 127,796,776,425.56/165,621.75
  6. Step 6: Final answer
    x = 771,618.32

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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.