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Finding the Third Proportional to 207,893.25 and 272,983.50

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Solution

The third proportional to 207,893.25 and 272,983.50 is: 358,453.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,893.25 : 272,983.50 = 272,983.50 : x
  2. Step 2: Convert to fraction form
    207,893.25/272,983.50 = 272,983.50/x
  3. Step 3: Cross multiply
    207,893.25x = 272,983.50 × 272,983.50
  4. Step 4: Simplify right side
    207,893.25x = 74,519,991,272.25
  5. Step 5: Solve for x
    x = 74,519,991,272.25/207,893.25
  6. Step 6: Final answer
    x = 358,453.15

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.