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Finding the Third Proportional to 211,495.50 and 327,646.13

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Solution

The third proportional to 211,495.50 and 327,646.13 is: 507,585.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,495.50 : 327,646.13 = 327,646.13 : x
  2. Step 2: Convert to fraction form
    211,495.50/327,646.13 = 327,646.13/x
  3. Step 3: Cross multiply
    211,495.50x = 327,646.13 × 327,646.13
  4. Step 4: Simplify right side
    211,495.50x = 107,351,983,227.52
  5. Step 5: Solve for x
    x = 107,351,983,227.52/211,495.50
  6. Step 6: Final answer
    x = 507,585.19

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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.