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Finding the Third Proportional to 166,237 and 249,291

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Solution

The third proportional to 166,237 and 249,291 is: 373,839.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,237 : 249,291 = 249,291 : x
  2. Step 2: Convert to fraction form
    166,237/249,291 = 249,291/x
  3. Step 3: Cross multiply
    166,237x = 249,291 × 249,291
  4. Step 4: Simplify right side
    166,237x = 62,146,002,681
  5. Step 5: Solve for x
    x = 62,146,002,681/166,237
  6. Step 6: Final answer
    x = 373,839.78

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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.