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Finding the Third Proportional to 200,635.31 and 293,570.16

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Solution

The third proportional to 200,635.31 and 293,570.16 is: 429,552.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,635.31 : 293,570.16 = 293,570.16 : x
  2. Step 2: Convert to fraction form
    200,635.31/293,570.16 = 293,570.16/x
  3. Step 3: Cross multiply
    200,635.31x = 293,570.16 × 293,570.16
  4. Step 4: Simplify right side
    200,635.31x = 86,183,436,640.65
  5. Step 5: Solve for x
    x = 86,183,436,640.65/200,635.31
  6. Step 6: Final answer
    x = 429,552.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.