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Finding the Third Proportional to 128,727 and 199,318.50

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Solution

The third proportional to 128,727 and 199,318.50 is: 308,621.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,727 : 199,318.50 = 199,318.50 : x
  2. Step 2: Convert to fraction form
    128,727/199,318.50 = 199,318.50/x
  3. Step 3: Cross multiply
    128,727x = 199,318.50 × 199,318.50
  4. Step 4: Simplify right side
    128,727x = 39,727,864,442.25
  5. Step 5: Solve for x
    x = 39,727,864,442.25/128,727
  6. Step 6: Final answer
    x = 308,621.07

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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.