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Finding the Third Proportional to 118,208.81 and 176,895.56

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Solution

The third proportional to 118,208.81 and 176,895.56 is: 264,718.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,208.81 : 176,895.56 = 176,895.56 : x
  2. Step 2: Convert to fraction form
    118,208.81/176,895.56 = 176,895.56/x
  3. Step 3: Cross multiply
    118,208.81x = 176,895.56 × 176,895.56
  4. Step 4: Simplify right side
    118,208.81x = 31,292,040,032.19
  5. Step 5: Solve for x
    x = 31,292,040,032.19/118,208.81
  6. Step 6: Final answer
    x = 264,718.34

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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.