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Finding the Third Proportional to 101,506 and 223,261

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Solution

The third proportional to 101,506 and 223,261 is: 491,059.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,506 : 223,261 = 223,261 : x
  2. Step 2: Convert to fraction form
    101,506/223,261 = 223,261/x
  3. Step 3: Cross multiply
    101,506x = 223,261 × 223,261
  4. Step 4: Simplify right side
    101,506x = 49,845,474,121
  5. Step 5: Solve for x
    x = 49,845,474,121/101,506
  6. Step 6: Final answer
    x = 491,059.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.