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Finding the Third Proportional to 240,176 and 515,967

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Solution

The third proportional to 240,176 and 515,967 is: 1,108,445.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,176 : 515,967 = 515,967 : x
  2. Step 2: Convert to fraction form
    240,176/515,967 = 515,967/x
  3. Step 3: Cross multiply
    240,176x = 515,967 × 515,967
  4. Step 4: Simplify right side
    240,176x = 266,221,945,089
  5. Step 5: Solve for x
    x = 266,221,945,089/240,176
  6. Step 6: Final answer
    x = 1,108,445.24

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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.