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Finding the Third Proportional to 208,549.50 and 455,343

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Solution

The third proportional to 208,549.50 and 455,343 is: 994,187.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,549.50 : 455,343 = 455,343 : x
  2. Step 2: Convert to fraction form
    208,549.50/455,343 = 455,343/x
  3. Step 3: Cross multiply
    208,549.50x = 455,343 × 455,343
  4. Step 4: Simplify right side
    208,549.50x = 207,337,247,649
  5. Step 5: Solve for x
    x = 207,337,247,649/208,549.50
  6. Step 6: Final answer
    x = 994,187.22

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.