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Finding the Third Proportional to 187,653 and 283,090.50

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Solution

The third proportional to 187,653 and 283,090.50 is: 427,066.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,653 : 283,090.50 = 283,090.50 : x
  2. Step 2: Convert to fraction form
    187,653/283,090.50 = 283,090.50/x
  3. Step 3: Cross multiply
    187,653x = 283,090.50 × 283,090.50
  4. Step 4: Simplify right side
    187,653x = 80,140,231,190.25
  5. Step 5: Solve for x
    x = 80,140,231,190.25/187,653
  6. Step 6: Final answer
    x = 427,066.08

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.