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Finding the Third Proportional to 206,698.50 and 310,047.75

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Solution

The third proportional to 206,698.50 and 310,047.75 is: 465,071.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,698.50 : 310,047.75 = 310,047.75 : x
  2. Step 2: Convert to fraction form
    206,698.50/310,047.75 = 310,047.75/x
  3. Step 3: Cross multiply
    206,698.50x = 310,047.75 × 310,047.75
  4. Step 4: Simplify right side
    206,698.50x = 96,129,607,280.06
  5. Step 5: Solve for x
    x = 96,129,607,280.06/206,698.50
  6. Step 6: Final answer
    x = 465,071.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.