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Finding the Third Proportional to 107,355 and 233,208

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Solution

The third proportional to 107,355 and 233,208 is: 506,599.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,355 : 233,208 = 233,208 : x
  2. Step 2: Convert to fraction form
    107,355/233,208 = 233,208/x
  3. Step 3: Cross multiply
    107,355x = 233,208 × 233,208
  4. Step 4: Simplify right side
    107,355x = 54,385,971,264
  5. Step 5: Solve for x
    x = 54,385,971,264/107,355
  6. Step 6: Final answer
    x = 506,599.33

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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.