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Finding the Third Proportional to 140,031 and 222,641

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Solution

The third proportional to 140,031 and 222,641 is: 353,986.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,031 : 222,641 = 222,641 : x
  2. Step 2: Convert to fraction form
    140,031/222,641 = 222,641/x
  3. Step 3: Cross multiply
    140,031x = 222,641 × 222,641
  4. Step 4: Simplify right side
    140,031x = 49,569,014,881
  5. Step 5: Solve for x
    x = 49,569,014,881/140,031
  6. Step 6: Final answer
    x = 353,986.01

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.