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Finding the Third Proportional to 167,682 and 249,243

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Solution

The third proportional to 167,682 and 249,243 is: 370,475.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,682 : 249,243 = 249,243 : x
  2. Step 2: Convert to fraction form
    167,682/249,243 = 249,243/x
  3. Step 3: Cross multiply
    167,682x = 249,243 × 249,243
  4. Step 4: Simplify right side
    167,682x = 62,122,073,049
  5. Step 5: Solve for x
    x = 62,122,073,049/167,682
  6. Step 6: Final answer
    x = 370,475.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.