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Finding the Third Proportional to 265,285.13 and 375,011.44

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Solution

The third proportional to 265,285.13 and 375,011.44 is: 530,122.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,285.13 : 375,011.44 = 375,011.44 : x
  2. Step 2: Convert to fraction form
    265,285.13/375,011.44 = 375,011.44/x
  3. Step 3: Cross multiply
    265,285.13x = 375,011.44 × 375,011.44
  4. Step 4: Simplify right side
    265,285.13x = 140,633,578,255.82
  5. Step 5: Solve for x
    x = 140,633,578,255.82/265,285.13
  6. Step 6: Final answer
    x = 530,122.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.