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Finding the Third Proportional to 187,300.50 and 304,309.50

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Solution

The third proportional to 187,300.50 and 304,309.50 is: 494,415.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,300.50 : 304,309.50 = 304,309.50 : x
  2. Step 2: Convert to fraction form
    187,300.50/304,309.50 = 304,309.50/x
  3. Step 3: Cross multiply
    187,300.50x = 304,309.50 × 304,309.50
  4. Step 4: Simplify right side
    187,300.50x = 92,604,271,790.25
  5. Step 5: Solve for x
    x = 92,604,271,790.25/187,300.50
  6. Step 6: Final answer
    x = 494,415.51

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.