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Finding the Third Proportional to 158,256 and 343,545.75

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Solution

The third proportional to 158,256 and 343,545.75 is: 745,776.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,256 : 343,545.75 = 343,545.75 : x
  2. Step 2: Convert to fraction form
    158,256/343,545.75 = 343,545.75/x
  3. Step 3: Cross multiply
    158,256x = 343,545.75 × 343,545.75
  4. Step 4: Simplify right side
    158,256x = 118,023,682,343.06
  5. Step 5: Solve for x
    x = 118,023,682,343.06/158,256
  6. Step 6: Final answer
    x = 745,776.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.