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Finding the Third Proportional to 261,965.50 and 394,246

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Solution

The third proportional to 261,965.50 and 394,246 is: 593,322.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,965.50 : 394,246 = 394,246 : x
  2. Step 2: Convert to fraction form
    261,965.50/394,246 = 394,246/x
  3. Step 3: Cross multiply
    261,965.50x = 394,246 × 394,246
  4. Step 4: Simplify right side
    261,965.50x = 155,429,908,516
  5. Step 5: Solve for x
    x = 155,429,908,516/261,965.50
  6. Step 6: Final answer
    x = 593,322.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.