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Finding the Third Proportional to 78,796 and 170,222

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Solution

The third proportional to 78,796 and 170,222 is: 367,728.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,796 : 170,222 = 170,222 : x
  2. Step 2: Convert to fraction form
    78,796/170,222 = 170,222/x
  3. Step 3: Cross multiply
    78,796x = 170,222 × 170,222
  4. Step 4: Simplify right side
    78,796x = 28,975,529,284
  5. Step 5: Solve for x
    x = 28,975,529,284/78,796
  6. Step 6: Final answer
    x = 367,728.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.