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Finding the Third Proportional to 208,001.25 and 297,236.25

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Solution

The third proportional to 208,001.25 and 297,236.25 is: 424,754.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,001.25 : 297,236.25 = 297,236.25 : x
  2. Step 2: Convert to fraction form
    208,001.25/297,236.25 = 297,236.25/x
  3. Step 3: Cross multiply
    208,001.25x = 297,236.25 × 297,236.25
  4. Step 4: Simplify right side
    208,001.25x = 88,349,388,314.06
  5. Step 5: Solve for x
    x = 88,349,388,314.06/208,001.25
  6. Step 6: Final answer
    x = 424,754.12

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.