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Finding the Third Proportional to 75,208 and 160,784

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Solution

The third proportional to 75,208 and 160,784 is: 343,733.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,208 : 160,784 = 160,784 : x
  2. Step 2: Convert to fraction form
    75,208/160,784 = 160,784/x
  3. Step 3: Cross multiply
    75,208x = 160,784 × 160,784
  4. Step 4: Simplify right side
    75,208x = 25,851,494,656
  5. Step 5: Solve for x
    x = 25,851,494,656/75,208
  6. Step 6: Final answer
    x = 343,733.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.