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Finding the Third Proportional to 112,965 and 241,442

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Solution

The third proportional to 112,965 and 241,442 is: 516,038.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,965 : 241,442 = 241,442 : x
  2. Step 2: Convert to fraction form
    112,965/241,442 = 241,442/x
  3. Step 3: Cross multiply
    112,965x = 241,442 × 241,442
  4. Step 4: Simplify right side
    112,965x = 58,294,239,364
  5. Step 5: Solve for x
    x = 58,294,239,364/112,965
  6. Step 6: Final answer
    x = 516,038.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.