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Finding the Third Proportional to 156,011 and 368,157

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Solution

The third proportional to 156,011 and 368,157 is: 868,782.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,011 : 368,157 = 368,157 : x
  2. Step 2: Convert to fraction form
    156,011/368,157 = 368,157/x
  3. Step 3: Cross multiply
    156,011x = 368,157 × 368,157
  4. Step 4: Simplify right side
    156,011x = 135,539,576,649
  5. Step 5: Solve for x
    x = 135,539,576,649/156,011
  6. Step 6: Final answer
    x = 868,782.18

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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.