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Finding the Third Proportional to 100,298 and 216,270

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Solution

The third proportional to 100,298 and 216,270 is: 466,337.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,298 : 216,270 = 216,270 : x
  2. Step 2: Convert to fraction form
    100,298/216,270 = 216,270/x
  3. Step 3: Cross multiply
    100,298x = 216,270 × 216,270
  4. Step 4: Simplify right side
    100,298x = 46,772,712,900
  5. Step 5: Solve for x
    x = 46,772,712,900/100,298
  6. Step 6: Final answer
    x = 466,337.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.