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Finding the Third Proportional to 140,965.50 and 293,595

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Solution

The third proportional to 140,965.50 and 293,595 is: 611,483.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,965.50 : 293,595 = 293,595 : x
  2. Step 2: Convert to fraction form
    140,965.50/293,595 = 293,595/x
  3. Step 3: Cross multiply
    140,965.50x = 293,595 × 293,595
  4. Step 4: Simplify right side
    140,965.50x = 86,198,024,025
  5. Step 5: Solve for x
    x = 86,198,024,025/140,965.50
  6. Step 6: Final answer
    x = 611,483.12

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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.