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Finding the Third Proportional to 160,516 and 347,784

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Solution

The third proportional to 160,516 and 347,784 is: 753,530.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,516 : 347,784 = 347,784 : x
  2. Step 2: Convert to fraction form
    160,516/347,784 = 347,784/x
  3. Step 3: Cross multiply
    160,516x = 347,784 × 347,784
  4. Step 4: Simplify right side
    160,516x = 120,953,710,656
  5. Step 5: Solve for x
    x = 120,953,710,656/160,516
  6. Step 6: Final answer
    x = 753,530.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.