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Finding the Third Proportional to 176,077.13 and 254,351.81

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Solution

The third proportional to 176,077.13 and 254,351.81 is: 367,423.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,077.13 : 254,351.81 = 254,351.81 : x
  2. Step 2: Convert to fraction form
    176,077.13/254,351.81 = 254,351.81/x
  3. Step 3: Cross multiply
    176,077.13x = 254,351.81 × 254,351.81
  4. Step 4: Simplify right side
    176,077.13x = 64,694,844,522.04
  5. Step 5: Solve for x
    x = 64,694,844,522.04/176,077.13
  6. Step 6: Final answer
    x = 367,423.34

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.