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Finding the Third Proportional to 73,831.50 and 160,015.50

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Solution

The third proportional to 73,831.50 and 160,015.50 is: 346,802.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,831.50 : 160,015.50 = 160,015.50 : x
  2. Step 2: Convert to fraction form
    73,831.50/160,015.50 = 160,015.50/x
  3. Step 3: Cross multiply
    73,831.50x = 160,015.50 × 160,015.50
  4. Step 4: Simplify right side
    73,831.50x = 25,604,960,240.25
  5. Step 5: Solve for x
    x = 25,604,960,240.25/73,831.50
  6. Step 6: Final answer
    x = 346,802.66

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