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Finding the Third Proportional to 175,525.31 and 377,714.16

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Solution

The third proportional to 175,525.31 and 377,714.16 is: 812,805.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,525.31 : 377,714.16 = 377,714.16 : x
  2. Step 2: Convert to fraction form
    175,525.31/377,714.16 = 377,714.16/x
  3. Step 3: Cross multiply
    175,525.31x = 377,714.16 × 377,714.16
  4. Step 4: Simplify right side
    175,525.31x = 142,667,983,831.65
  5. Step 5: Solve for x
    x = 142,667,983,831.65/175,525.31
  6. Step 6: Final answer
    x = 812,805.75

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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.