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Finding the Third Proportional to 152,420.06 and 214,451.30

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Solution

The third proportional to 152,420.06 and 214,451.30 is: 301,727.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,420.06 : 214,451.30 = 214,451.30 : x
  2. Step 2: Convert to fraction form
    152,420.06/214,451.30 = 214,451.30/x
  3. Step 3: Cross multiply
    152,420.06x = 214,451.30 × 214,451.30
  4. Step 4: Simplify right side
    152,420.06x = 45,989,358,731.37
  5. Step 5: Solve for x
    x = 45,989,358,731.37/152,420.06
  6. Step 6: Final answer
    x = 301,727.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.