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Finding the Third Proportional to 211,117.22 and 327,386.81

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Solution

The third proportional to 211,117.22 and 327,386.81 is: 507,690.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,117.22 : 327,386.81 = 327,386.81 : x
  2. Step 2: Convert to fraction form
    211,117.22/327,386.81 = 327,386.81/x
  3. Step 3: Cross multiply
    211,117.22x = 327,386.81 × 327,386.81
  4. Step 4: Simplify right side
    211,117.22x = 107,182,124,998.91
  5. Step 5: Solve for x
    x = 107,182,124,998.91/211,117.22
  6. Step 6: Final answer
    x = 507,690.11

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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.