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Finding the Third Proportional to 157,831.13 and 236,929.13

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Solution

The third proportional to 157,831.13 and 236,929.13 is: 355,667.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,831.13 : 236,929.13 = 236,929.13 : x
  2. Step 2: Convert to fraction form
    157,831.13/236,929.13 = 236,929.13/x
  3. Step 3: Cross multiply
    157,831.13x = 236,929.13 × 236,929.13
  4. Step 4: Simplify right side
    157,831.13x = 56,135,410,273.27
  5. Step 5: Solve for x
    x = 56,135,410,273.27/157,831.13
  6. Step 6: Final answer
    x = 355,667.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.