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Finding the Third Proportional to 187,671 and 276,541.50

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Solution

The third proportional to 187,671 and 276,541.50 is: 407,496.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,671 : 276,541.50 = 276,541.50 : x
  2. Step 2: Convert to fraction form
    187,671/276,541.50 = 276,541.50/x
  3. Step 3: Cross multiply
    187,671x = 276,541.50 × 276,541.50
  4. Step 4: Simplify right side
    187,671x = 76,475,201,222.25
  5. Step 5: Solve for x
    x = 76,475,201,222.25/187,671
  6. Step 6: Final answer
    x = 407,496.10

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.