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Finding the Third Proportional to 176,969.39 and 383,463.28

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Solution

The third proportional to 176,969.39 and 383,463.28 is: 830,901.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,969.39 : 383,463.28 = 383,463.28 : x
  2. Step 2: Convert to fraction form
    176,969.39/383,463.28 = 383,463.28/x
  3. Step 3: Cross multiply
    176,969.39x = 383,463.28 × 383,463.28
  4. Step 4: Simplify right side
    176,969.39x = 147,044,088,067.02
  5. Step 5: Solve for x
    x = 147,044,088,067.02/176,969.39
  6. Step 6: Final answer
    x = 830,901.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.