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Finding the Third Proportional to 141,150 and 219,502

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Solution

The third proportional to 141,150 and 219,502 is: 341,346.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,150 : 219,502 = 219,502 : x
  2. Step 2: Convert to fraction form
    141,150/219,502 = 219,502/x
  3. Step 3: Cross multiply
    141,150x = 219,502 × 219,502
  4. Step 4: Simplify right side
    141,150x = 48,181,128,004
  5. Step 5: Solve for x
    x = 48,181,128,004/141,150
  6. Step 6: Final answer
    x = 341,346.99

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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.