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Finding the Third Proportional to 142,305.75 and 214,393.50

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Solution

The third proportional to 142,305.75 and 214,393.50 is: 322,998.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,305.75 : 214,393.50 = 214,393.50 : x
  2. Step 2: Convert to fraction form
    142,305.75/214,393.50 = 214,393.50/x
  3. Step 3: Cross multiply
    142,305.75x = 214,393.50 × 214,393.50
  4. Step 4: Simplify right side
    142,305.75x = 45,964,572,842.25
  5. Step 5: Solve for x
    x = 45,964,572,842.25/142,305.75
  6. Step 6: Final answer
    x = 322,998.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.