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Finding the Third Proportional to 187,073 and 411,512.50

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Solution

The third proportional to 187,073 and 411,512.50 is: 905,221.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,073 : 411,512.50 = 411,512.50 : x
  2. Step 2: Convert to fraction form
    187,073/411,512.50 = 411,512.50/x
  3. Step 3: Cross multiply
    187,073x = 411,512.50 × 411,512.50
  4. Step 4: Simplify right side
    187,073x = 169,342,537,656.25
  5. Step 5: Solve for x
    x = 169,342,537,656.25/187,073
  6. Step 6: Final answer
    x = 905,221.69

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.