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Finding the Third Proportional to 241,236 and 333,342

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Solution

The third proportional to 241,236 and 333,342 is: 460,614.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,236 : 333,342 = 333,342 : x
  2. Step 2: Convert to fraction form
    241,236/333,342 = 333,342/x
  3. Step 3: Cross multiply
    241,236x = 333,342 × 333,342
  4. Step 4: Simplify right side
    241,236x = 111,116,888,964
  5. Step 5: Solve for x
    x = 111,116,888,964/241,236
  6. Step 6: Final answer
    x = 460,614.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.