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Finding the Third Proportional to 142,594 and 221,775

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Solution

The third proportional to 142,594 and 221,775 is: 344,924.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,594 : 221,775 = 221,775 : x
  2. Step 2: Convert to fraction form
    142,594/221,775 = 221,775/x
  3. Step 3: Cross multiply
    142,594x = 221,775 × 221,775
  4. Step 4: Simplify right side
    142,594x = 49,184,150,625
  5. Step 5: Solve for x
    x = 49,184,150,625/142,594
  6. Step 6: Final answer
    x = 344,924.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.