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Finding the Third Proportional to 166,766 and 249,693

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Solution

The third proportional to 166,766 and 249,693 is: 373,856.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,766 : 249,693 = 249,693 : x
  2. Step 2: Convert to fraction form
    166,766/249,693 = 249,693/x
  3. Step 3: Cross multiply
    166,766x = 249,693 × 249,693
  4. Step 4: Simplify right side
    166,766x = 62,346,594,249
  5. Step 5: Solve for x
    x = 62,346,594,249/166,766
  6. Step 6: Final answer
    x = 373,856.75

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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.