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Finding the Third Proportional to 166,386 and 235,429.50

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Solution

The third proportional to 166,386 and 235,429.50 is: 333,123.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,386 : 235,429.50 = 235,429.50 : x
  2. Step 2: Convert to fraction form
    166,386/235,429.50 = 235,429.50/x
  3. Step 3: Cross multiply
    166,386x = 235,429.50 × 235,429.50
  4. Step 4: Simplify right side
    166,386x = 55,427,049,470.25
  5. Step 5: Solve for x
    x = 55,427,049,470.25/166,386
  6. Step 6: Final answer
    x = 333,123.28

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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.