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Finding the Third Proportional to 161,068 and 363,894

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Solution

The third proportional to 161,068 and 363,894 is: 822,130.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,068 : 363,894 = 363,894 : x
  2. Step 2: Convert to fraction form
    161,068/363,894 = 363,894/x
  3. Step 3: Cross multiply
    161,068x = 363,894 × 363,894
  4. Step 4: Simplify right side
    161,068x = 132,418,843,236
  5. Step 5: Solve for x
    x = 132,418,843,236/161,068
  6. Step 6: Final answer
    x = 822,130.05

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.