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Finding the Third Proportional to 166,435.19 and 359,427.06

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Solution

The third proportional to 166,435.19 and 359,427.06 is: 776,204.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,435.19 : 359,427.06 = 359,427.06 : x
  2. Step 2: Convert to fraction form
    166,435.19/359,427.06 = 359,427.06/x
  3. Step 3: Cross multiply
    166,435.19x = 359,427.06 × 359,427.06
  4. Step 4: Simplify right side
    166,435.19x = 129,187,813,257.38
  5. Step 5: Solve for x
    x = 129,187,813,257.38/166,435.19
  6. Step 6: Final answer
    x = 776,204.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.