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Finding the Third Proportional to 207,316 and 310,906

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Solution

The third proportional to 207,316 and 310,906 is: 466,257.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,316 : 310,906 = 310,906 : x
  2. Step 2: Convert to fraction form
    207,316/310,906 = 310,906/x
  3. Step 3: Cross multiply
    207,316x = 310,906 × 310,906
  4. Step 4: Simplify right side
    207,316x = 96,662,540,836
  5. Step 5: Solve for x
    x = 96,662,540,836/207,316
  6. Step 6: Final answer
    x = 466,257.02

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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.