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Finding the Third Proportional to 156,820.50 and 236,688.75

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Solution

The third proportional to 156,820.50 and 236,688.75 is: 357,233.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,820.50 : 236,688.75 = 236,688.75 : x
  2. Step 2: Convert to fraction form
    156,820.50/236,688.75 = 236,688.75/x
  3. Step 3: Cross multiply
    156,820.50x = 236,688.75 × 236,688.75
  4. Step 4: Simplify right side
    156,820.50x = 56,021,564,376.56
  5. Step 5: Solve for x
    x = 56,021,564,376.56/156,820.50
  6. Step 6: Final answer
    x = 357,233.68

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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.