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Finding the Third Proportional to 163,054.50 and 243,831.75

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Solution

The third proportional to 163,054.50 and 243,831.75 is: 364,626.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,054.50 : 243,831.75 = 243,831.75 : x
  2. Step 2: Convert to fraction form
    163,054.50/243,831.75 = 243,831.75/x
  3. Step 3: Cross multiply
    163,054.50x = 243,831.75 × 243,831.75
  4. Step 4: Simplify right side
    163,054.50x = 59,453,922,308.06
  5. Step 5: Solve for x
    x = 59,453,922,308.06/163,054.50
  6. Step 6: Final answer
    x = 364,626.07

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Why These Related Problems?

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