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Finding the Third Proportional to 200,726 and 293,551

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Solution

The third proportional to 200,726 and 293,551 is: 429,302.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,726 : 293,551 = 293,551 : x
  2. Step 2: Convert to fraction form
    200,726/293,551 = 293,551/x
  3. Step 3: Cross multiply
    200,726x = 293,551 × 293,551
  4. Step 4: Simplify right side
    200,726x = 86,172,189,601
  5. Step 5: Solve for x
    x = 86,172,189,601/200,726
  6. Step 6: Final answer
    x = 429,302.58

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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.