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Finding the Third Proportional to 156,866.63 and 242,382.38

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Solution

The third proportional to 156,866.63 and 242,382.38 is: 374,516.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,866.63 : 242,382.38 = 242,382.38 : x
  2. Step 2: Convert to fraction form
    156,866.63/242,382.38 = 242,382.38/x
  3. Step 3: Cross multiply
    156,866.63x = 242,382.38 × 242,382.38
  4. Step 4: Simplify right side
    156,866.63x = 58,749,215,710.64
  5. Step 5: Solve for x
    x = 58,749,215,710.64/156,866.63
  6. Step 6: Final answer
    x = 374,516.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.