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Finding the Third Proportional to 167,678.44 and 249,238.69

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Solution

The third proportional to 167,678.44 and 249,238.69 is: 370,470.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,678.44 : 249,238.69 = 249,238.69 : x
  2. Step 2: Convert to fraction form
    167,678.44/249,238.69 = 249,238.69/x
  3. Step 3: Cross multiply
    167,678.44x = 249,238.69 × 249,238.69
  4. Step 4: Simplify right side
    167,678.44x = 62,119,923,346.72
  5. Step 5: Solve for x
    x = 62,119,923,346.72/167,678.44
  6. Step 6: Final answer
    x = 370,470.55

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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.