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Finding the Third Proportional to 78,784.50 and 168,644

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Solution

The third proportional to 78,784.50 and 168,644 is: 360,994.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,784.50 : 168,644 = 168,644 : x
  2. Step 2: Convert to fraction form
    78,784.50/168,644 = 168,644/x
  3. Step 3: Cross multiply
    78,784.50x = 168,644 × 168,644
  4. Step 4: Simplify right side
    78,784.50x = 28,440,798,736
  5. Step 5: Solve for x
    x = 28,440,798,736/78,784.50
  6. Step 6: Final answer
    x = 360,994.85

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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.