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Finding the Third Proportional to 160,520.50 and 238,470

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Solution

The third proportional to 160,520.50 and 238,470 is: 354,272.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,520.50 : 238,470 = 238,470 : x
  2. Step 2: Convert to fraction form
    160,520.50/238,470 = 238,470/x
  3. Step 3: Cross multiply
    160,520.50x = 238,470 × 238,470
  4. Step 4: Simplify right side
    160,520.50x = 56,867,940,900
  5. Step 5: Solve for x
    x = 56,867,940,900/160,520.50
  6. Step 6: Final answer
    x = 354,272.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.