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Finding the Third Proportional to 78,334.88 and 160,817.63

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Solution

The third proportional to 78,334.88 and 160,817.63 is: 330,150.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,334.88 : 160,817.63 = 160,817.63 : x
  2. Step 2: Convert to fraction form
    78,334.88/160,817.63 = 160,817.63/x
  3. Step 3: Cross multiply
    78,334.88x = 160,817.63 × 160,817.63
  4. Step 4: Simplify right side
    78,334.88x = 25,862,308,510.64
  5. Step 5: Solve for x
    x = 25,862,308,510.64/78,334.88
  6. Step 6: Final answer
    x = 330,150.63

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.