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Finding the Third Proportional to 200,734 and 293,563

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Solution

The third proportional to 200,734 and 293,563 is: 429,320.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,734 : 293,563 = 293,563 : x
  2. Step 2: Convert to fraction form
    200,734/293,563 = 293,563/x
  3. Step 3: Cross multiply
    200,734x = 293,563 × 293,563
  4. Step 4: Simplify right side
    200,734x = 86,179,234,969
  5. Step 5: Solve for x
    x = 86,179,234,969/200,734
  6. Step 6: Final answer
    x = 429,320.57

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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.