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Finding the Third Proportional to 174,519 and 376,888.50

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Solution

The third proportional to 174,519 and 376,888.50 is: 813,922.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,519 : 376,888.50 = 376,888.50 : x
  2. Step 2: Convert to fraction form
    174,519/376,888.50 = 376,888.50/x
  3. Step 3: Cross multiply
    174,519x = 376,888.50 × 376,888.50
  4. Step 4: Simplify right side
    174,519x = 142,044,941,432.25
  5. Step 5: Solve for x
    x = 142,044,941,432.25/174,519
  6. Step 6: Final answer
    x = 813,922.50

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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.