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Finding the Third Proportional to 175,653 and 377,928

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Solution

The third proportional to 175,653 and 377,928 is: 813,134.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,653 : 377,928 = 377,928 : x
  2. Step 2: Convert to fraction form
    175,653/377,928 = 377,928/x
  3. Step 3: Cross multiply
    175,653x = 377,928 × 377,928
  4. Step 4: Simplify right side
    175,653x = 142,829,573,184
  5. Step 5: Solve for x
    x = 142,829,573,184/175,653
  6. Step 6: Final answer
    x = 813,134.84

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.