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Finding the Third Proportional to 156,785.63 and 236,647.69

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Solution

The third proportional to 156,785.63 and 236,647.69 is: 357,189.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,785.63 : 236,647.69 = 236,647.69 : x
  2. Step 2: Convert to fraction form
    156,785.63/236,647.69 = 236,647.69/x
  3. Step 3: Cross multiply
    156,785.63x = 236,647.69 × 236,647.69
  4. Step 4: Simplify right side
    156,785.63x = 56,002,127,999.10
  5. Step 5: Solve for x
    x = 56,002,127,999.10/156,785.63
  6. Step 6: Final answer
    x = 357,189.17

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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.