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Finding the Third Proportional to 208,932.75 and 314,917.88

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Solution

The third proportional to 208,932.75 and 314,917.88 is: 474,665.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,932.75 : 314,917.88 = 314,917.88 : x
  2. Step 2: Convert to fraction form
    208,932.75/314,917.88 = 314,917.88/x
  3. Step 3: Cross multiply
    208,932.75x = 314,917.88 × 314,917.88
  4. Step 4: Simplify right side
    208,932.75x = 99,173,267,994.52
  5. Step 5: Solve for x
    x = 99,173,267,994.52/208,932.75
  6. Step 6: Final answer
    x = 474,665.98

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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.