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Finding the Third Proportional to 200,934 and 273,637.50

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Solution

The third proportional to 200,934 and 273,637.50 is: 372,647.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,934 : 273,637.50 = 273,637.50 : x
  2. Step 2: Convert to fraction form
    200,934/273,637.50 = 273,637.50/x
  3. Step 3: Cross multiply
    200,934x = 273,637.50 × 273,637.50
  4. Step 4: Simplify right side
    200,934x = 74,877,481,406.25
  5. Step 5: Solve for x
    x = 74,877,481,406.25/200,934
  6. Step 6: Final answer
    x = 372,647.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.