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Finding the Third Proportional to 94,719.50 and 207,277

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Solution

The third proportional to 94,719.50 and 207,277 is: 453,589.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,719.50 : 207,277 = 207,277 : x
  2. Step 2: Convert to fraction form
    94,719.50/207,277 = 207,277/x
  3. Step 3: Cross multiply
    94,719.50x = 207,277 × 207,277
  4. Step 4: Simplify right side
    94,719.50x = 42,963,754,729
  5. Step 5: Solve for x
    x = 42,963,754,729/94,719.50
  6. Step 6: Final answer
    x = 453,589.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.