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Finding the Third Proportional to 156,745.13 and 236,577.38

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Solution

The third proportional to 156,745.13 and 236,577.38 is: 357,069.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,745.13 : 236,577.38 = 236,577.38 : x
  2. Step 2: Convert to fraction form
    156,745.13/236,577.38 = 236,577.38/x
  3. Step 3: Cross multiply
    156,745.13x = 236,577.38 × 236,577.38
  4. Step 4: Simplify right side
    156,745.13x = 55,968,854,361.89
  5. Step 5: Solve for x
    x = 55,968,854,361.89/156,745.13
  6. Step 6: Final answer
    x = 357,069.19

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Why These Related Problems?

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