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Finding the Third Proportional to 187,061 and 452,856.50

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Solution

The third proportional to 187,061 and 452,856.50 is: 1,096,321.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,061 : 452,856.50 = 452,856.50 : x
  2. Step 2: Convert to fraction form
    187,061/452,856.50 = 452,856.50/x
  3. Step 3: Cross multiply
    187,061x = 452,856.50 × 452,856.50
  4. Step 4: Simplify right side
    187,061x = 205,079,009,592.25
  5. Step 5: Solve for x
    x = 205,079,009,592.25/187,061
  6. Step 6: Final answer
    x = 1,096,321.57

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.