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Finding the Third Proportional to 105,768 and 230,829

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Solution

The third proportional to 105,768 and 230,829 is: 503,763.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,768 : 230,829 = 230,829 : x
  2. Step 2: Convert to fraction form
    105,768/230,829 = 230,829/x
  3. Step 3: Cross multiply
    105,768x = 230,829 × 230,829
  4. Step 4: Simplify right side
    105,768x = 53,282,027,241
  5. Step 5: Solve for x
    x = 53,282,027,241/105,768
  6. Step 6: Final answer
    x = 503,763.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.