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Finding the Third Proportional to 166,008 and 249,132

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Solution

The third proportional to 166,008 and 249,132 is: 373,878.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,008 : 249,132 = 249,132 : x
  2. Step 2: Convert to fraction form
    166,008/249,132 = 249,132/x
  3. Step 3: Cross multiply
    166,008x = 249,132 × 249,132
  4. Step 4: Simplify right side
    166,008x = 62,066,753,424
  5. Step 5: Solve for x
    x = 62,066,753,424/166,008
  6. Step 6: Final answer
    x = 373,878.09

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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.