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Finding the Third Proportional to 166,437 and 235,504.13

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Solution

The third proportional to 166,437 and 235,504.13 is: 333,232.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,437 : 235,504.13 = 235,504.13 : x
  2. Step 2: Convert to fraction form
    166,437/235,504.13 = 235,504.13/x
  3. Step 3: Cross multiply
    166,437x = 235,504.13 × 235,504.13
  4. Step 4: Simplify right side
    166,437x = 55,462,192,892.02
  5. Step 5: Solve for x
    x = 55,462,192,892.02/166,437
  6. Step 6: Final answer
    x = 333,232.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.