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Finding the Third Proportional to 162,776.25 and 338,026.50

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Solution

The third proportional to 162,776.25 and 338,026.50 is: 701,956.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,776.25 : 338,026.50 = 338,026.50 : x
  2. Step 2: Convert to fraction form
    162,776.25/338,026.50 = 338,026.50/x
  3. Step 3: Cross multiply
    162,776.25x = 338,026.50 × 338,026.50
  4. Step 4: Simplify right side
    162,776.25x = 114,261,914,702.25
  5. Step 5: Solve for x
    x = 114,261,914,702.25/162,776.25
  6. Step 6: Final answer
    x = 701,956.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.