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Finding the Third Proportional to 165,518.44 and 357,275.81

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Solution

The third proportional to 165,518.44 and 357,275.81 is: 771,189.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,518.44 : 357,275.81 = 357,275.81 : x
  2. Step 2: Convert to fraction form
    165,518.44/357,275.81 = 357,275.81/x
  3. Step 3: Cross multiply
    165,518.44x = 357,275.81 × 357,275.81
  4. Step 4: Simplify right side
    165,518.44x = 127,646,006,197.54
  5. Step 5: Solve for x
    x = 127,646,006,197.54/165,518.44
  6. Step 6: Final answer
    x = 771,189.05

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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.