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Finding the Third Proportional to 187,410.50 and 298,061.50

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Solution

The third proportional to 187,410.50 and 298,061.50 is: 474,043.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,410.50 : 298,061.50 = 298,061.50 : x
  2. Step 2: Convert to fraction form
    187,410.50/298,061.50 = 298,061.50/x
  3. Step 3: Cross multiply
    187,410.50x = 298,061.50 × 298,061.50
  4. Step 4: Simplify right side
    187,410.50x = 88,840,657,782.25
  5. Step 5: Solve for x
    x = 88,840,657,782.25/187,410.50
  6. Step 6: Final answer
    x = 474,043.12

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.