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Finding the Third Proportional to 141,009.75 and 220,090.50

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Solution

The third proportional to 141,009.75 and 220,090.50 is: 343,521.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,009.75 : 220,090.50 = 220,090.50 : x
  2. Step 2: Convert to fraction form
    141,009.75/220,090.50 = 220,090.50/x
  3. Step 3: Cross multiply
    141,009.75x = 220,090.50 × 220,090.50
  4. Step 4: Simplify right side
    141,009.75x = 48,439,828,190.25
  5. Step 5: Solve for x
    x = 48,439,828,190.25/141,009.75
  6. Step 6: Final answer
    x = 343,521.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.