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Finding the Third Proportional to 207,726 and 311,237

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Solution

The third proportional to 207,726 and 311,237 is: 466,328.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,726 : 311,237 = 311,237 : x
  2. Step 2: Convert to fraction form
    207,726/311,237 = 311,237/x
  3. Step 3: Cross multiply
    207,726x = 311,237 × 311,237
  4. Step 4: Simplify right side
    207,726x = 96,868,470,169
  5. Step 5: Solve for x
    x = 96,868,470,169/207,726
  6. Step 6: Final answer
    x = 466,328.10

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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.