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Finding the Third Proportional to 166,101 and 249,108

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Solution

The third proportional to 166,101 and 249,108 is: 373,596.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,101 : 249,108 = 249,108 : x
  2. Step 2: Convert to fraction form
    166,101/249,108 = 249,108/x
  3. Step 3: Cross multiply
    166,101x = 249,108 × 249,108
  4. Step 4: Simplify right side
    166,101x = 62,054,795,664
  5. Step 5: Solve for x
    x = 62,054,795,664/166,101
  6. Step 6: Final answer
    x = 373,596.76

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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.