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Finding the Third Proportional to 110,506 and 241,253

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Solution

The third proportional to 110,506 and 241,253 is: 526,695.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,506 : 241,253 = 241,253 : x
  2. Step 2: Convert to fraction form
    110,506/241,253 = 241,253/x
  3. Step 3: Cross multiply
    110,506x = 241,253 × 241,253
  4. Step 4: Simplify right side
    110,506x = 58,203,010,009
  5. Step 5: Solve for x
    x = 58,203,010,009/110,506
  6. Step 6: Final answer
    x = 526,695.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.