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Finding the Third Proportional to 156,639 and 237,144

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Solution

The third proportional to 156,639 and 237,144 is: 359,024.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,639 : 237,144 = 237,144 : x
  2. Step 2: Convert to fraction form
    156,639/237,144 = 237,144/x
  3. Step 3: Cross multiply
    156,639x = 237,144 × 237,144
  4. Step 4: Simplify right side
    156,639x = 56,237,276,736
  5. Step 5: Solve for x
    x = 56,237,276,736/156,639
  6. Step 6: Final answer
    x = 359,024.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.