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Finding the Third Proportional to 207,324 and 293,610

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Solution

The third proportional to 207,324 and 293,610 is: 415,807.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,324 : 293,610 = 293,610 : x
  2. Step 2: Convert to fraction form
    207,324/293,610 = 293,610/x
  3. Step 3: Cross multiply
    207,324x = 293,610 × 293,610
  4. Step 4: Simplify right side
    207,324x = 86,206,832,100
  5. Step 5: Solve for x
    x = 86,206,832,100/207,324
  6. Step 6: Final answer
    x = 415,807.30

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.