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Finding the Third Proportional to 152,146.75 and 236,831.75

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Solution

The third proportional to 152,146.75 and 236,831.75 is: 368,652.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,146.75 : 236,831.75 = 236,831.75 : x
  2. Step 2: Convert to fraction form
    152,146.75/236,831.75 = 236,831.75/x
  3. Step 3: Cross multiply
    152,146.75x = 236,831.75 × 236,831.75
  4. Step 4: Simplify right side
    152,146.75x = 56,089,277,808.06
  5. Step 5: Solve for x
    x = 56,089,277,808.06/152,146.75
  6. Step 6: Final answer
    x = 368,652.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.