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Finding the Third Proportional to 128,763 and 199,370.25

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Solution

The third proportional to 128,763 and 199,370.25 is: 308,695.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,763 : 199,370.25 = 199,370.25 : x
  2. Step 2: Convert to fraction form
    128,763/199,370.25 = 199,370.25/x
  3. Step 3: Cross multiply
    128,763x = 199,370.25 × 199,370.25
  4. Step 4: Simplify right side
    128,763x = 39,748,496,585.06
  5. Step 5: Solve for x
    x = 39,748,496,585.06/128,763
  6. Step 6: Final answer
    x = 308,695.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.