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Finding the Third Proportional to 160,784 and 344,896

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Solution

The third proportional to 160,784 and 344,896 is: 739,832.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,784 : 344,896 = 344,896 : x
  2. Step 2: Convert to fraction form
    160,784/344,896 = 344,896/x
  3. Step 3: Cross multiply
    160,784x = 344,896 × 344,896
  4. Step 4: Simplify right side
    160,784x = 118,953,250,816
  5. Step 5: Solve for x
    x = 118,953,250,816/160,784
  6. Step 6: Final answer
    x = 739,832.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.