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Finding the Third Proportional to 156,792 and 238,470

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Solution

The third proportional to 156,792 and 238,470 is: 362,696.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,792 : 238,470 = 238,470 : x
  2. Step 2: Convert to fraction form
    156,792/238,470 = 238,470/x
  3. Step 3: Cross multiply
    156,792x = 238,470 × 238,470
  4. Step 4: Simplify right side
    156,792x = 56,867,940,900
  5. Step 5: Solve for x
    x = 56,867,940,900/156,792
  6. Step 6: Final answer
    x = 362,696.70

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