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Finding the Third Proportional to 156,358.50 and 368,737.50

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Solution

The third proportional to 156,358.50 and 368,737.50 is: 869,587.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,358.50 : 368,737.50 = 368,737.50 : x
  2. Step 2: Convert to fraction form
    156,358.50/368,737.50 = 368,737.50/x
  3. Step 3: Cross multiply
    156,358.50x = 368,737.50 × 368,737.50
  4. Step 4: Simplify right side
    156,358.50x = 135,967,343,906.25
  5. Step 5: Solve for x
    x = 135,967,343,906.25/156,358.50
  6. Step 6: Final answer
    x = 869,587.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.