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Finding the Third Proportional to 119,205 and 257,769

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Solution

The third proportional to 119,205 and 257,769 is: 557,399.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,205 : 257,769 = 257,769 : x
  2. Step 2: Convert to fraction form
    119,205/257,769 = 257,769/x
  3. Step 3: Cross multiply
    119,205x = 257,769 × 257,769
  4. Step 4: Simplify right side
    119,205x = 66,444,857,361
  5. Step 5: Solve for x
    x = 66,444,857,361/119,205
  6. Step 6: Final answer
    x = 557,399.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.