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Finding the Third Proportional to 160,839 and 348,158.25

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Solution

The third proportional to 160,839 and 348,158.25 is: 753,636.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,839 : 348,158.25 = 348,158.25 : x
  2. Step 2: Convert to fraction form
    160,839/348,158.25 = 348,158.25/x
  3. Step 3: Cross multiply
    160,839x = 348,158.25 × 348,158.25
  4. Step 4: Simplify right side
    160,839x = 121,214,167,043.06
  5. Step 5: Solve for x
    x = 121,214,167,043.06/160,839
  6. Step 6: Final answer
    x = 753,636.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.