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Finding the Third Proportional to 200,732.63 and 293,560.88

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Solution

The third proportional to 200,732.63 and 293,560.88 is: 429,317.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,732.63 : 293,560.88 = 293,560.88 : x
  2. Step 2: Convert to fraction form
    200,732.63/293,560.88 = 293,560.88/x
  3. Step 3: Cross multiply
    200,732.63x = 293,560.88 × 293,560.88
  4. Step 4: Simplify right side
    200,732.63x = 86,177,987,330.77
  5. Step 5: Solve for x
    x = 86,177,987,330.77/200,732.63
  6. Step 6: Final answer
    x = 429,317.29

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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.