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Finding the Third Proportional to 107,469 and 233,595

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Solution

The third proportional to 107,469 and 233,595 is: 507,742.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,469 : 233,595 = 233,595 : x
  2. Step 2: Convert to fraction form
    107,469/233,595 = 233,595/x
  3. Step 3: Cross multiply
    107,469x = 233,595 × 233,595
  4. Step 4: Simplify right side
    107,469x = 54,566,624,025
  5. Step 5: Solve for x
    x = 54,566,624,025/107,469
  6. Step 6: Final answer
    x = 507,742.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.