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Finding the Third Proportional to 158,761.27 and 343,400.77

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Solution

The third proportional to 158,761.27 and 343,400.77 is: 742,776.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,761.27 : 343,400.77 = 343,400.77 : x
  2. Step 2: Convert to fraction form
    158,761.27/343,400.77 = 343,400.77/x
  3. Step 3: Cross multiply
    158,761.27x = 343,400.77 × 343,400.77
  4. Step 4: Simplify right side
    158,761.27x = 117,924,085,831.84
  5. Step 5: Solve for x
    x = 117,924,085,831.84/158,761.27
  6. Step 6: Final answer
    x = 742,776.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.