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Finding the Third Proportional to 165,496.50 and 357,231

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Solution

The third proportional to 165,496.50 and 357,231 is: 771,097.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,496.50 : 357,231 = 357,231 : x
  2. Step 2: Convert to fraction form
    165,496.50/357,231 = 357,231/x
  3. Step 3: Cross multiply
    165,496.50x = 357,231 × 357,231
  4. Step 4: Simplify right side
    165,496.50x = 127,613,987,361
  5. Step 5: Solve for x
    x = 127,613,987,361/165,496.50
  6. Step 6: Final answer
    x = 771,097.80

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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.