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Finding the Third Proportional to 207,084 and 293,640

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Solution

The third proportional to 207,084 and 293,640 is: 416,374.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,084 : 293,640 = 293,640 : x
  2. Step 2: Convert to fraction form
    207,084/293,640 = 293,640/x
  3. Step 3: Cross multiply
    207,084x = 293,640 × 293,640
  4. Step 4: Simplify right side
    207,084x = 86,224,449,600
  5. Step 5: Solve for x
    x = 86,224,449,600/207,084
  6. Step 6: Final answer
    x = 416,374.27

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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.