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Finding the Third Proportional to 109,773 and 245,898

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Solution

The third proportional to 109,773 and 245,898 is: 550,826.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,773 : 245,898 = 245,898 : x
  2. Step 2: Convert to fraction form
    109,773/245,898 = 245,898/x
  3. Step 3: Cross multiply
    109,773x = 245,898 × 245,898
  4. Step 4: Simplify right side
    109,773x = 60,465,826,404
  5. Step 5: Solve for x
    x = 60,465,826,404/109,773
  6. Step 6: Final answer
    x = 550,826.04

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.