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Finding the Third Proportional to 163,471.50 and 249,958.50

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Solution

The third proportional to 163,471.50 and 249,958.50 is: 382,202.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,471.50 : 249,958.50 = 249,958.50 : x
  2. Step 2: Convert to fraction form
    163,471.50/249,958.50 = 249,958.50/x
  3. Step 3: Cross multiply
    163,471.50x = 249,958.50 × 249,958.50
  4. Step 4: Simplify right side
    163,471.50x = 62,479,251,722.25
  5. Step 5: Solve for x
    x = 62,479,251,722.25/163,471.50
  6. Step 6: Final answer
    x = 382,202.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.