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Finding the Third Proportional to 167,861 and 362,531.50

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Solution

The third proportional to 167,861 and 362,531.50 is: 782,963.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,861 : 362,531.50 = 362,531.50 : x
  2. Step 2: Convert to fraction form
    167,861/362,531.50 = 362,531.50/x
  3. Step 3: Cross multiply
    167,861x = 362,531.50 × 362,531.50
  4. Step 4: Simplify right side
    167,861x = 131,429,088,492.25
  5. Step 5: Solve for x
    x = 131,429,088,492.25/167,861
  6. Step 6: Final answer
    x = 782,963.81

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.