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Finding the Third Proportional to 211,437 and 289,939.50

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Solution

The third proportional to 211,437 and 289,939.50 is: 397,588.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,437 : 289,939.50 = 289,939.50 : x
  2. Step 2: Convert to fraction form
    211,437/289,939.50 = 289,939.50/x
  3. Step 3: Cross multiply
    211,437x = 289,939.50 × 289,939.50
  4. Step 4: Simplify right side
    211,437x = 84,064,913,660.25
  5. Step 5: Solve for x
    x = 84,064,913,660.25/211,437
  6. Step 6: Final answer
    x = 397,588.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.