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Finding the Third Proportional to 140,959.50 and 293,580

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Solution

The third proportional to 140,959.50 and 293,580 is: 611,446.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,959.50 : 293,580 = 293,580 : x
  2. Step 2: Convert to fraction form
    140,959.50/293,580 = 293,580/x
  3. Step 3: Cross multiply
    140,959.50x = 293,580 × 293,580
  4. Step 4: Simplify right side
    140,959.50x = 86,189,216,400
  5. Step 5: Solve for x
    x = 86,189,216,400/140,959.50
  6. Step 6: Final answer
    x = 611,446.67

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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.