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Finding the Third Proportional to 177,332 and 384,807

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Solution

The third proportional to 177,332 and 384,807 is: 835,023.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,332 : 384,807 = 384,807 : x
  2. Step 2: Convert to fraction form
    177,332/384,807 = 384,807/x
  3. Step 3: Cross multiply
    177,332x = 384,807 × 384,807
  4. Step 4: Simplify right side
    177,332x = 148,076,427,249
  5. Step 5: Solve for x
    x = 148,076,427,249/177,332
  6. Step 6: Final answer
    x = 835,023.73

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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.