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Finding the Third Proportional to 208,444.50 and 455,025

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Solution

The third proportional to 208,444.50 and 455,025 is: 993,299.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,444.50 : 455,025 = 455,025 : x
  2. Step 2: Convert to fraction form
    208,444.50/455,025 = 455,025/x
  3. Step 3: Cross multiply
    208,444.50x = 455,025 × 455,025
  4. Step 4: Simplify right side
    208,444.50x = 207,047,750,625
  5. Step 5: Solve for x
    x = 207,047,750,625/208,444.50
  6. Step 6: Final answer
    x = 993,299.18

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Why These Related Problems?

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