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Finding the Third Proportional to 162,558.75 and 349,086

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Solution

The third proportional to 162,558.75 and 349,086 is: 749,643.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,558.75 : 349,086 = 349,086 : x
  2. Step 2: Convert to fraction form
    162,558.75/349,086 = 349,086/x
  3. Step 3: Cross multiply
    162,558.75x = 349,086 × 349,086
  4. Step 4: Simplify right side
    162,558.75x = 121,861,035,396
  5. Step 5: Solve for x
    x = 121,861,035,396/162,558.75
  6. Step 6: Final answer
    x = 749,643.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.