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Finding the Third Proportional to 208,052.25 and 313,275

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Solution

The third proportional to 208,052.25 and 313,275 is: 471,714.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,052.25 : 313,275 = 313,275 : x
  2. Step 2: Convert to fraction form
    208,052.25/313,275 = 313,275/x
  3. Step 3: Cross multiply
    208,052.25x = 313,275 × 313,275
  4. Step 4: Simplify right side
    208,052.25x = 98,141,225,625
  5. Step 5: Solve for x
    x = 98,141,225,625/208,052.25
  6. Step 6: Final answer
    x = 471,714.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.