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Finding the Third Proportional to 200,734 and 293,562

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Solution

The third proportional to 200,734 and 293,562 is: 429,317.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,734 : 293,562 = 293,562 : x
  2. Step 2: Convert to fraction form
    200,734/293,562 = 293,562/x
  3. Step 3: Cross multiply
    200,734x = 293,562 × 293,562
  4. Step 4: Simplify right side
    200,734x = 86,178,647,844
  5. Step 5: Solve for x
    x = 86,178,647,844/200,734
  6. Step 6: Final answer
    x = 429,317.64

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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.