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Finding the Third Proportional to 149,671.50 and 236,956.50

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Solution

The third proportional to 149,671.50 and 236,956.50 is: 375,144.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,671.50 : 236,956.50 = 236,956.50 : x
  2. Step 2: Convert to fraction form
    149,671.50/236,956.50 = 236,956.50/x
  3. Step 3: Cross multiply
    149,671.50x = 236,956.50 × 236,956.50
  4. Step 4: Simplify right side
    149,671.50x = 56,148,382,892.25
  5. Step 5: Solve for x
    x = 56,148,382,892.25/149,671.50
  6. Step 6: Final answer
    x = 375,144.12

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.