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Finding the Third Proportional to 101,424 and 219,264

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Solution

The third proportional to 101,424 and 219,264 is: 474,017.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,424 : 219,264 = 219,264 : x
  2. Step 2: Convert to fraction form
    101,424/219,264 = 219,264/x
  3. Step 3: Cross multiply
    101,424x = 219,264 × 219,264
  4. Step 4: Simplify right side
    101,424x = 48,076,701,696
  5. Step 5: Solve for x
    x = 48,076,701,696/101,424
  6. Step 6: Final answer
    x = 474,017.01

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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.