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Finding the Third Proportional to 131,792 and 282,653

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Solution

The third proportional to 131,792 and 282,653 is: 606,203.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,792 : 282,653 = 282,653 : x
  2. Step 2: Convert to fraction form
    131,792/282,653 = 282,653/x
  3. Step 3: Cross multiply
    131,792x = 282,653 × 282,653
  4. Step 4: Simplify right side
    131,792x = 79,892,718,409
  5. Step 5: Solve for x
    x = 79,892,718,409/131,792
  6. Step 6: Final answer
    x = 606,203.10

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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.