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Finding the Third Proportional to 198,312.75 and 302,117.25

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Solution

The third proportional to 198,312.75 and 302,117.25 is: 460,257.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,312.75 : 302,117.25 = 302,117.25 : x
  2. Step 2: Convert to fraction form
    198,312.75/302,117.25 = 302,117.25/x
  3. Step 3: Cross multiply
    198,312.75x = 302,117.25 × 302,117.25
  4. Step 4: Simplify right side
    198,312.75x = 91,274,832,747.56
  5. Step 5: Solve for x
    x = 91,274,832,747.56/198,312.75
  6. Step 6: Final answer
    x = 460,257.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.