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Finding the Third Proportional to 149,977.50 and 210,933

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Solution

The third proportional to 149,977.50 and 210,933 is: 296,662.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,977.50 : 210,933 = 210,933 : x
  2. Step 2: Convert to fraction form
    149,977.50/210,933 = 210,933/x
  3. Step 3: Cross multiply
    149,977.50x = 210,933 × 210,933
  4. Step 4: Simplify right side
    149,977.50x = 44,492,730,489
  5. Step 5: Solve for x
    x = 44,492,730,489/149,977.50
  6. Step 6: Final answer
    x = 296,662.70

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.