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Finding the Third Proportional to 160,025.50 and 234,121

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Solution

The third proportional to 160,025.50 and 234,121 is: 342,524.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,025.50 : 234,121 = 234,121 : x
  2. Step 2: Convert to fraction form
    160,025.50/234,121 = 234,121/x
  3. Step 3: Cross multiply
    160,025.50x = 234,121 × 234,121
  4. Step 4: Simplify right side
    160,025.50x = 54,812,642,641
  5. Step 5: Solve for x
    x = 54,812,642,641/160,025.50
  6. Step 6: Final answer
    x = 342,524.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.