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Finding the Third Proportional to 200,721 and 293,545

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Solution

The third proportional to 200,721 and 293,545 is: 429,295.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,721 : 293,545 = 293,545 : x
  2. Step 2: Convert to fraction form
    200,721/293,545 = 293,545/x
  3. Step 3: Cross multiply
    200,721x = 293,545 × 293,545
  4. Step 4: Simplify right side
    200,721x = 86,168,667,025
  5. Step 5: Solve for x
    x = 86,168,667,025/200,721
  6. Step 6: Final answer
    x = 429,295.72

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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.