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Finding the Third Proportional to 282,351.75 and 414,111

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Solution

The third proportional to 282,351.75 and 414,111 is: 607,355.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,351.75 : 414,111 = 414,111 : x
  2. Step 2: Convert to fraction form
    282,351.75/414,111 = 414,111/x
  3. Step 3: Cross multiply
    282,351.75x = 414,111 × 414,111
  4. Step 4: Simplify right side
    282,351.75x = 171,487,920,321
  5. Step 5: Solve for x
    x = 171,487,920,321/282,351.75
  6. Step 6: Final answer
    x = 607,355.61

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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.