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Finding the Third Proportional to 211,637 and 327,968

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Solution

The third proportional to 211,637 and 327,968 is: 508,242.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,637 : 327,968 = 327,968 : x
  2. Step 2: Convert to fraction form
    211,637/327,968 = 327,968/x
  3. Step 3: Cross multiply
    211,637x = 327,968 × 327,968
  4. Step 4: Simplify right side
    211,637x = 107,563,009,024
  5. Step 5: Solve for x
    x = 107,563,009,024/211,637
  6. Step 6: Final answer
    x = 508,242.93

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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.