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Finding the Third Proportional to 77,856 and 170,784

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Solution

The third proportional to 77,856 and 170,784 is: 374,629.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,856 : 170,784 = 170,784 : x
  2. Step 2: Convert to fraction form
    77,856/170,784 = 170,784/x
  3. Step 3: Cross multiply
    77,856x = 170,784 × 170,784
  4. Step 4: Simplify right side
    77,856x = 29,167,174,656
  5. Step 5: Solve for x
    x = 29,167,174,656/77,856
  6. Step 6: Final answer
    x = 374,629.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.