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Finding the Third Proportional to 160,272 and 342,784

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Solution

The third proportional to 160,272 and 342,784 is: 733,134.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,272 : 342,784 = 342,784 : x
  2. Step 2: Convert to fraction form
    160,272/342,784 = 342,784/x
  3. Step 3: Cross multiply
    160,272x = 342,784 × 342,784
  4. Step 4: Simplify right side
    160,272x = 117,500,870,656
  5. Step 5: Solve for x
    x = 117,500,870,656/160,272
  6. Step 6: Final answer
    x = 733,134.11

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.