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Finding the Third Proportional to 207,324 and 311,148

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Solution

The third proportional to 207,324 and 311,148 is: 466,965.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,324 : 311,148 = 311,148 : x
  2. Step 2: Convert to fraction form
    207,324/311,148 = 311,148/x
  3. Step 3: Cross multiply
    207,324x = 311,148 × 311,148
  4. Step 4: Simplify right side
    207,324x = 96,813,077,904
  5. Step 5: Solve for x
    x = 96,813,077,904/207,324
  6. Step 6: Final answer
    x = 466,965.13

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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.