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Finding the Third Proportional to 160,831.13 and 343,749.38

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Solution

The third proportional to 160,831.13 and 343,749.38 is: 734,706.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,831.13 : 343,749.38 = 343,749.38 : x
  2. Step 2: Convert to fraction form
    160,831.13/343,749.38 = 343,749.38/x
  3. Step 3: Cross multiply
    160,831.13x = 343,749.38 × 343,749.38
  4. Step 4: Simplify right side
    160,831.13x = 118,163,632,812.89
  5. Step 5: Solve for x
    x = 118,163,632,812.89/160,831.13
  6. Step 6: Final answer
    x = 734,706.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.