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Finding the Third Proportional to 162,844.75 and 358,818.50

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Solution

The third proportional to 162,844.75 and 358,818.50 is: 790,634.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,844.75 : 358,818.50 = 358,818.50 : x
  2. Step 2: Convert to fraction form
    162,844.75/358,818.50 = 358,818.50/x
  3. Step 3: Cross multiply
    162,844.75x = 358,818.50 × 358,818.50
  4. Step 4: Simplify right side
    162,844.75x = 128,750,715,942.25
  5. Step 5: Solve for x
    x = 128,750,715,942.25/162,844.75
  6. Step 6: Final answer
    x = 790,634.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.