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Finding the Third Proportional to 162,846.75 and 358,823.25

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Solution

The third proportional to 162,846.75 and 358,823.25 is: 790,645.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,846.75 : 358,823.25 = 358,823.25 : x
  2. Step 2: Convert to fraction form
    162,846.75/358,823.25 = 358,823.25/x
  3. Step 3: Cross multiply
    162,846.75x = 358,823.25 × 358,823.25
  4. Step 4: Simplify right side
    162,846.75x = 128,754,124,740.56
  5. Step 5: Solve for x
    x = 128,754,124,740.56/162,846.75
  6. Step 6: Final answer
    x = 790,645.96

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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.