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Finding the Third Proportional to 166,043 and 249,186

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Solution

The third proportional to 166,043 and 249,186 is: 373,961.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,043 : 249,186 = 249,186 : x
  2. Step 2: Convert to fraction form
    166,043/249,186 = 249,186/x
  3. Step 3: Cross multiply
    166,043x = 249,186 × 249,186
  4. Step 4: Simplify right side
    166,043x = 62,093,662,596
  5. Step 5: Solve for x
    x = 62,093,662,596/166,043
  6. Step 6: Final answer
    x = 373,961.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.