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Finding the Third Proportional to 141,027.75 and 293,719.50

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Solution

The third proportional to 141,027.75 and 293,719.50 is: 611,731.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,027.75 : 293,719.50 = 293,719.50 : x
  2. Step 2: Convert to fraction form
    141,027.75/293,719.50 = 293,719.50/x
  3. Step 3: Cross multiply
    141,027.75x = 293,719.50 × 293,719.50
  4. Step 4: Simplify right side
    141,027.75x = 86,271,144,680.25
  5. Step 5: Solve for x
    x = 86,271,144,680.25/141,027.75
  6. Step 6: Final answer
    x = 611,731.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.