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Finding the Third Proportional to 114,278.34 and 174,318.33

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Solution

The third proportional to 114,278.34 and 174,318.33 is: 265,902.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,278.34 : 174,318.33 = 174,318.33 : x
  2. Step 2: Convert to fraction form
    114,278.34/174,318.33 = 174,318.33/x
  3. Step 3: Cross multiply
    114,278.34x = 174,318.33 × 174,318.33
  4. Step 4: Simplify right side
    114,278.34x = 30,386,879,520.30
  5. Step 5: Solve for x
    x = 30,386,879,520.30/114,278.34
  6. Step 6: Final answer
    x = 265,902.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.