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Finding the Third Proportional to 167,233 and 357,146

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Solution

The third proportional to 167,233 and 357,146 is: 762,727.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,233 : 357,146 = 357,146 : x
  2. Step 2: Convert to fraction form
    167,233/357,146 = 357,146/x
  3. Step 3: Cross multiply
    167,233x = 357,146 × 357,146
  4. Step 4: Simplify right side
    167,233x = 127,553,265,316
  5. Step 5: Solve for x
    x = 127,553,265,316/167,233
  6. Step 6: Final answer
    x = 762,727.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.