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Finding the Third Proportional to 88,768 and 193,208

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Solution

The third proportional to 88,768 and 193,208 is: 420,526.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,768 : 193,208 = 193,208 : x
  2. Step 2: Convert to fraction form
    88,768/193,208 = 193,208/x
  3. Step 3: Cross multiply
    88,768x = 193,208 × 193,208
  4. Step 4: Simplify right side
    88,768x = 37,329,331,264
  5. Step 5: Solve for x
    x = 37,329,331,264/88,768
  6. Step 6: Final answer
    x = 420,526.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.