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Finding the Third Proportional to 160,068 and 344,964

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Solution

The third proportional to 160,068 and 344,964 is: 743,435.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,068 : 344,964 = 344,964 : x
  2. Step 2: Convert to fraction form
    160,068/344,964 = 344,964/x
  3. Step 3: Cross multiply
    160,068x = 344,964 × 344,964
  4. Step 4: Simplify right side
    160,068x = 119,000,161,296
  5. Step 5: Solve for x
    x = 119,000,161,296/160,068
  6. Step 6: Final answer
    x = 743,435.05

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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.