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Finding the Third Proportional to 107,049.50 and 233,168

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Solution

The third proportional to 107,049.50 and 233,168 is: 507,870.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,049.50 : 233,168 = 233,168 : x
  2. Step 2: Convert to fraction form
    107,049.50/233,168 = 233,168/x
  3. Step 3: Cross multiply
    107,049.50x = 233,168 × 233,168
  4. Step 4: Simplify right side
    107,049.50x = 54,367,316,224
  5. Step 5: Solve for x
    x = 54,367,316,224/107,049.50
  6. Step 6: Final answer
    x = 507,870.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.