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Finding the Third Proportional to 176,310 and 380,673

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Solution

The third proportional to 176,310 and 380,673 is: 821,915.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,310 : 380,673 = 380,673 : x
  2. Step 2: Convert to fraction form
    176,310/380,673 = 380,673/x
  3. Step 3: Cross multiply
    176,310x = 380,673 × 380,673
  4. Step 4: Simplify right side
    176,310x = 144,911,932,929
  5. Step 5: Solve for x
    x = 144,911,932,929/176,310
  6. Step 6: Final answer
    x = 821,915.56

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.