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Finding the Third Proportional to 208,669.50 and 314,952.75

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Solution

The third proportional to 208,669.50 and 314,952.75 is: 475,370.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,669.50 : 314,952.75 = 314,952.75 : x
  2. Step 2: Convert to fraction form
    208,669.50/314,952.75 = 314,952.75/x
  3. Step 3: Cross multiply
    208,669.50x = 314,952.75 × 314,952.75
  4. Step 4: Simplify right side
    208,669.50x = 99,195,234,732.56
  5. Step 5: Solve for x
    x = 99,195,234,732.56/208,669.50
  6. Step 6: Final answer
    x = 475,370.07

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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.