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Finding the Third Proportional to 208,536.75 and 323,173.13

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Solution

The third proportional to 208,536.75 and 323,173.13 is: 500,827.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,536.75 : 323,173.13 = 323,173.13 : x
  2. Step 2: Convert to fraction form
    208,536.75/323,173.13 = 323,173.13/x
  3. Step 3: Cross multiply
    208,536.75x = 323,173.13 × 323,173.13
  4. Step 4: Simplify right side
    208,536.75x = 104,440,868,722.27
  5. Step 5: Solve for x
    x = 104,440,868,722.27/208,536.75
  6. Step 6: Final answer
    x = 500,827.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.