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Finding the Third Proportional to 152,090.25 and 220,293

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Solution

The third proportional to 152,090.25 and 220,293 is: 319,080.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,090.25 : 220,293 = 220,293 : x
  2. Step 2: Convert to fraction form
    152,090.25/220,293 = 220,293/x
  3. Step 3: Cross multiply
    152,090.25x = 220,293 × 220,293
  4. Step 4: Simplify right side
    152,090.25x = 48,529,005,849
  5. Step 5: Solve for x
    x = 48,529,005,849/152,090.25
  6. Step 6: Final answer
    x = 319,080.32

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.