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Finding the Third Proportional to 118,831.50 and 264,231

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Solution

The third proportional to 118,831.50 and 264,231 is: 587,538.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,831.50 : 264,231 = 264,231 : x
  2. Step 2: Convert to fraction form
    118,831.50/264,231 = 264,231/x
  3. Step 3: Cross multiply
    118,831.50x = 264,231 × 264,231
  4. Step 4: Simplify right side
    118,831.50x = 69,818,021,361
  5. Step 5: Solve for x
    x = 69,818,021,361/118,831.50
  6. Step 6: Final answer
    x = 587,538.00

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.