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Finding the Third Proportional to 159,745.50 and 242,534.25

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Solution

The third proportional to 159,745.50 and 242,534.25 is: 368,228.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,745.50 : 242,534.25 = 242,534.25 : x
  2. Step 2: Convert to fraction form
    159,745.50/242,534.25 = 242,534.25/x
  3. Step 3: Cross multiply
    159,745.50x = 242,534.25 × 242,534.25
  4. Step 4: Simplify right side
    159,745.50x = 58,822,862,423.06
  5. Step 5: Solve for x
    x = 58,822,862,423.06/159,745.50
  6. Step 6: Final answer
    x = 368,228.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.