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Finding the Third Proportional to 101,428 and 214,184

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Solution

The third proportional to 101,428 and 214,184 is: 452,289.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,428 : 214,184 = 214,184 : x
  2. Step 2: Convert to fraction form
    101,428/214,184 = 214,184/x
  3. Step 3: Cross multiply
    101,428x = 214,184 × 214,184
  4. Step 4: Simplify right side
    101,428x = 45,874,785,856
  5. Step 5: Solve for x
    x = 45,874,785,856/101,428
  6. Step 6: Final answer
    x = 452,289.17

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.