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Finding the Third Proportional to 107,400 and 233,260

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Solution

The third proportional to 107,400 and 233,260 is: 506,612.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,400 : 233,260 = 233,260 : x
  2. Step 2: Convert to fraction form
    107,400/233,260 = 233,260/x
  3. Step 3: Cross multiply
    107,400x = 233,260 × 233,260
  4. Step 4: Simplify right side
    107,400x = 54,410,227,600
  5. Step 5: Solve for x
    x = 54,410,227,600/107,400
  6. Step 6: Final answer
    x = 506,612.92

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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.