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Finding the Third Proportional to 162,198.70 and 249,650.86

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Solution

The third proportional to 162,198.70 and 249,650.86 is: 384,254.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,198.70 : 249,650.86 = 249,650.86 : x
  2. Step 2: Convert to fraction form
    162,198.70/249,650.86 = 249,650.86/x
  3. Step 3: Cross multiply
    162,198.70x = 249,650.86 × 249,650.86
  4. Step 4: Simplify right side
    162,198.70x = 62,325,551,586.68
  5. Step 5: Solve for x
    x = 62,325,551,586.68/162,198.70
  6. Step 6: Final answer
    x = 384,254.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.