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Finding the Third Proportional to 166,155 and 249,180

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Solution

The third proportional to 166,155 and 249,180 is: 373,691.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,155 : 249,180 = 249,180 : x
  2. Step 2: Convert to fraction form
    166,155/249,180 = 249,180/x
  3. Step 3: Cross multiply
    166,155x = 249,180 × 249,180
  4. Step 4: Simplify right side
    166,155x = 62,090,672,400
  5. Step 5: Solve for x
    x = 62,090,672,400/166,155
  6. Step 6: Final answer
    x = 373,691.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.