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Finding the Third Proportional to 167,143 and 357,614

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Solution

The third proportional to 167,143 and 357,614 is: 765,139.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,143 : 357,614 = 357,614 : x
  2. Step 2: Convert to fraction form
    167,143/357,614 = 357,614/x
  3. Step 3: Cross multiply
    167,143x = 357,614 × 357,614
  4. Step 4: Simplify right side
    167,143x = 127,887,772,996
  5. Step 5: Solve for x
    x = 127,887,772,996/167,143
  6. Step 6: Final answer
    x = 765,139.87

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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.