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Finding the Third Proportional to 211,452.75 and 323,877.38

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Solution

The third proportional to 211,452.75 and 323,877.38 is: 496,075.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,452.75 : 323,877.38 = 323,877.38 : x
  2. Step 2: Convert to fraction form
    211,452.75/323,877.38 = 323,877.38/x
  3. Step 3: Cross multiply
    211,452.75x = 323,877.38 × 323,877.38
  4. Step 4: Simplify right side
    211,452.75x = 104,896,554,036.89
  5. Step 5: Solve for x
    x = 104,896,554,036.89/211,452.75
  6. Step 6: Final answer
    x = 496,075.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.