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Finding the Third Proportional to 241,920 and 384,330.75

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Solution

The third proportional to 241,920 and 384,330.75 is: 610,574.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,920 : 384,330.75 = 384,330.75 : x
  2. Step 2: Convert to fraction form
    241,920/384,330.75 = 384,330.75/x
  3. Step 3: Cross multiply
    241,920x = 384,330.75 × 384,330.75
  4. Step 4: Simplify right side
    241,920x = 147,710,125,395.56
  5. Step 5: Solve for x
    x = 147,710,125,395.56/241,920
  6. Step 6: Final answer
    x = 610,574.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.