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Finding the Third Proportional to 166,365 and 232,831.50

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Solution

The third proportional to 166,365 and 232,831.50 is: 325,852.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,365 : 232,831.50 = 232,831.50 : x
  2. Step 2: Convert to fraction form
    166,365/232,831.50 = 232,831.50/x
  3. Step 3: Cross multiply
    166,365x = 232,831.50 × 232,831.50
  4. Step 4: Simplify right side
    166,365x = 54,210,507,392.25
  5. Step 5: Solve for x
    x = 54,210,507,392.25/166,365
  6. Step 6: Final answer
    x = 325,852.84

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.