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Finding the Third Proportional to 78,645 and 169,804

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Solution

The third proportional to 78,645 and 169,804 is: 366,627.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,645 : 169,804 = 169,804 : x
  2. Step 2: Convert to fraction form
    78,645/169,804 = 169,804/x
  3. Step 3: Cross multiply
    78,645x = 169,804 × 169,804
  4. Step 4: Simplify right side
    78,645x = 28,833,398,416
  5. Step 5: Solve for x
    x = 28,833,398,416/78,645
  6. Step 6: Final answer
    x = 366,627.23

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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.