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Finding the Third Proportional to 167,683.50 and 249,246.75

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Solution

The third proportional to 167,683.50 and 249,246.75 is: 370,483.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,683.50 : 249,246.75 = 249,246.75 : x
  2. Step 2: Convert to fraction form
    167,683.50/249,246.75 = 249,246.75/x
  3. Step 3: Cross multiply
    167,683.50x = 249,246.75 × 249,246.75
  4. Step 4: Simplify right side
    167,683.50x = 62,123,942,385.56
  5. Step 5: Solve for x
    x = 62,123,942,385.56/167,683.50
  6. Step 6: Final answer
    x = 370,483.34

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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.