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Finding the Third Proportional to 131,833 and 282,348

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Solution

The third proportional to 131,833 and 282,348 is: 604,707.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,833 : 282,348 = 282,348 : x
  2. Step 2: Convert to fraction form
    131,833/282,348 = 282,348/x
  3. Step 3: Cross multiply
    131,833x = 282,348 × 282,348
  4. Step 4: Simplify right side
    131,833x = 79,720,393,104
  5. Step 5: Solve for x
    x = 79,720,393,104/131,833
  6. Step 6: Final answer
    x = 604,707.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.