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Finding the Third Proportional to 241,282 and 354,898

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Solution

The third proportional to 241,282 and 354,898 is: 522,014.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,282 : 354,898 = 354,898 : x
  2. Step 2: Convert to fraction form
    241,282/354,898 = 354,898/x
  3. Step 3: Cross multiply
    241,282x = 354,898 × 354,898
  4. Step 4: Simplify right side
    241,282x = 125,952,590,404
  5. Step 5: Solve for x
    x = 125,952,590,404/241,282
  6. Step 6: Final answer
    x = 522,014.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.