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Finding the Third Proportional to 187,323 and 401,443.50

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Solution

The third proportional to 187,323 and 401,443.50 is: 860,315.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,323 : 401,443.50 = 401,443.50 : x
  2. Step 2: Convert to fraction form
    187,323/401,443.50 = 401,443.50/x
  3. Step 3: Cross multiply
    187,323x = 401,443.50 × 401,443.50
  4. Step 4: Simplify right side
    187,323x = 161,156,883,692.25
  5. Step 5: Solve for x
    x = 161,156,883,692.25/187,323
  6. Step 6: Final answer
    x = 860,315.52

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.