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Finding the Third Proportional to 119,038.50 and 255,384

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Solution

The third proportional to 119,038.50 and 255,384 is: 547,898.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,038.50 : 255,384 = 255,384 : x
  2. Step 2: Convert to fraction form
    119,038.50/255,384 = 255,384/x
  3. Step 3: Cross multiply
    119,038.50x = 255,384 × 255,384
  4. Step 4: Simplify right side
    119,038.50x = 65,220,987,456
  5. Step 5: Solve for x
    x = 65,220,987,456/119,038.50
  6. Step 6: Final answer
    x = 547,898.26

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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.