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Finding the Third Proportional to 199,487.25 and 306,632.25

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Solution

The third proportional to 199,487.25 and 306,632.25 is: 471,325.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,487.25 : 306,632.25 = 306,632.25 : x
  2. Step 2: Convert to fraction form
    199,487.25/306,632.25 = 306,632.25/x
  3. Step 3: Cross multiply
    199,487.25x = 306,632.25 × 306,632.25
  4. Step 4: Simplify right side
    199,487.25x = 94,023,336,740.06
  5. Step 5: Solve for x
    x = 94,023,336,740.06/199,487.25
  6. Step 6: Final answer
    x = 471,325.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.