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Finding the Third Proportional to 182,053 and 387,069.50

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Solution

The third proportional to 182,053 and 387,069.50 is: 822,962.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,053 : 387,069.50 = 387,069.50 : x
  2. Step 2: Convert to fraction form
    182,053/387,069.50 = 387,069.50/x
  3. Step 3: Cross multiply
    182,053x = 387,069.50 × 387,069.50
  4. Step 4: Simplify right side
    182,053x = 149,822,797,830.25
  5. Step 5: Solve for x
    x = 149,822,797,830.25/182,053
  6. Step 6: Final answer
    x = 822,962.53

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.