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Finding the Third Proportional to 162,291 and 350,502

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Solution

The third proportional to 162,291 and 350,502 is: 756,983.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,291 : 350,502 = 350,502 : x
  2. Step 2: Convert to fraction form
    162,291/350,502 = 350,502/x
  3. Step 3: Cross multiply
    162,291x = 350,502 × 350,502
  4. Step 4: Simplify right side
    162,291x = 122,851,652,004
  5. Step 5: Solve for x
    x = 122,851,652,004/162,291
  6. Step 6: Final answer
    x = 756,983.76

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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.