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Finding the Third Proportional to 200,566.13 and 293,240.25

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Solution

The third proportional to 200,566.13 and 293,240.25 is: 428,735.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,566.13 : 293,240.25 = 293,240.25 : x
  2. Step 2: Convert to fraction form
    200,566.13/293,240.25 = 293,240.25/x
  3. Step 3: Cross multiply
    200,566.13x = 293,240.25 × 293,240.25
  4. Step 4: Simplify right side
    200,566.13x = 85,989,844,220.06
  5. Step 5: Solve for x
    x = 85,989,844,220.06/200,566.13
  6. Step 6: Final answer
    x = 428,735.63

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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.