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Finding the Third Proportional to 160,693.24 and 254,238.75

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Solution

The third proportional to 160,693.24 and 254,238.75 is: 402,240.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,693.24 : 254,238.75 = 254,238.75 : x
  2. Step 2: Convert to fraction form
    160,693.24/254,238.75 = 254,238.75/x
  3. Step 3: Cross multiply
    160,693.24x = 254,238.75 × 254,238.75
  4. Step 4: Simplify right side
    160,693.24x = 64,637,342,001.56
  5. Step 5: Solve for x
    x = 64,637,342,001.56/160,693.24
  6. Step 6: Final answer
    x = 402,240.57

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.