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Finding the Third Proportional to 119,116 and 255,488

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Solution

The third proportional to 119,116 and 255,488 is: 547,987.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,116 : 255,488 = 255,488 : x
  2. Step 2: Convert to fraction form
    119,116/255,488 = 255,488/x
  3. Step 3: Cross multiply
    119,116x = 255,488 × 255,488
  4. Step 4: Simplify right side
    119,116x = 65,274,118,144
  5. Step 5: Solve for x
    x = 65,274,118,144/119,116
  6. Step 6: Final answer
    x = 547,987.83

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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.