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Finding the Third Proportional to 113,195 and 243,778

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Solution

The third proportional to 113,195 and 243,778 is: 525,002.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,195 : 243,778 = 243,778 : x
  2. Step 2: Convert to fraction form
    113,195/243,778 = 243,778/x
  3. Step 3: Cross multiply
    113,195x = 243,778 × 243,778
  4. Step 4: Simplify right side
    113,195x = 59,427,713,284
  5. Step 5: Solve for x
    x = 59,427,713,284/113,195
  6. Step 6: Final answer
    x = 525,002.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.