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Finding the Third Proportional to 166,025 and 249,201

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Solution

The third proportional to 166,025 and 249,201 is: 374,046.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,025 : 249,201 = 249,201 : x
  2. Step 2: Convert to fraction form
    166,025/249,201 = 249,201/x
  3. Step 3: Cross multiply
    166,025x = 249,201 × 249,201
  4. Step 4: Simplify right side
    166,025x = 62,101,138,401
  5. Step 5: Solve for x
    x = 62,101,138,401/166,025
  6. Step 6: Final answer
    x = 374,046.91

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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.