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Finding the Third Proportional to 162,999.75 and 249,342.75

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Solution

The third proportional to 162,999.75 and 249,342.75 is: 381,422.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,999.75 : 249,342.75 = 249,342.75 : x
  2. Step 2: Convert to fraction form
    162,999.75/249,342.75 = 249,342.75/x
  3. Step 3: Cross multiply
    162,999.75x = 249,342.75 × 249,342.75
  4. Step 4: Simplify right side
    162,999.75x = 62,171,806,977.56
  5. Step 5: Solve for x
    x = 62,171,806,977.56/162,999.75
  6. Step 6: Final answer
    x = 381,422.71

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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.