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Finding the Third Proportional to 165,472.88 and 357,184.69

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Solution

The third proportional to 165,472.88 and 357,184.69 is: 771,007.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,472.88 : 357,184.69 = 357,184.69 : x
  2. Step 2: Convert to fraction form
    165,472.88/357,184.69 = 357,184.69/x
  3. Step 3: Cross multiply
    165,472.88x = 357,184.69 × 357,184.69
  4. Step 4: Simplify right side
    165,472.88x = 127,580,900,984.47
  5. Step 5: Solve for x
    x = 127,580,900,984.47/165,472.88
  6. Step 6: Final answer
    x = 771,007.94

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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.