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Finding the Third Proportional to 241,436 and 344,754

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Solution

The third proportional to 241,436 and 344,754 is: 492,285.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,436 : 344,754 = 344,754 : x
  2. Step 2: Convert to fraction form
    241,436/344,754 = 344,754/x
  3. Step 3: Cross multiply
    241,436x = 344,754 × 344,754
  4. Step 4: Simplify right side
    241,436x = 118,855,320,516
  5. Step 5: Solve for x
    x = 118,855,320,516/241,436
  6. Step 6: Final answer
    x = 492,285.00

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.