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Finding the Third Proportional to 98,768 and 216,274

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Solution

The third proportional to 98,768 and 216,274 is: 473,578.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,768 : 216,274 = 216,274 : x
  2. Step 2: Convert to fraction form
    98,768/216,274 = 216,274/x
  3. Step 3: Cross multiply
    98,768x = 216,274 × 216,274
  4. Step 4: Simplify right side
    98,768x = 46,774,443,076
  5. Step 5: Solve for x
    x = 46,774,443,076/98,768
  6. Step 6: Final answer
    x = 473,578.92

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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.