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Finding the Third Proportional to 101,294 and 221,674

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Solution

The third proportional to 101,294 and 221,674 is: 485,116.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,294 : 221,674 = 221,674 : x
  2. Step 2: Convert to fraction form
    101,294/221,674 = 221,674/x
  3. Step 3: Cross multiply
    101,294x = 221,674 × 221,674
  4. Step 4: Simplify right side
    101,294x = 49,139,362,276
  5. Step 5: Solve for x
    x = 49,139,362,276/101,294
  6. Step 6: Final answer
    x = 485,116.22

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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.