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Finding the Third Proportional to 78,455.63 and 171,490.13

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Solution

The third proportional to 78,455.63 and 171,490.13 is: 374,847.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,455.63 : 171,490.13 = 171,490.13 : x
  2. Step 2: Convert to fraction form
    78,455.63/171,490.13 = 171,490.13/x
  3. Step 3: Cross multiply
    78,455.63x = 171,490.13 × 171,490.13
  4. Step 4: Simplify right side
    78,455.63x = 29,408,862,972.52
  5. Step 5: Solve for x
    x = 29,408,862,972.52/78,455.63
  6. Step 6: Final answer
    x = 374,847.09

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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.