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Finding the Third Proportional to 161,957 and 348,518

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Solution

The third proportional to 161,957 and 348,518 is: 749,981.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,957 : 348,518 = 348,518 : x
  2. Step 2: Convert to fraction form
    161,957/348,518 = 348,518/x
  3. Step 3: Cross multiply
    161,957x = 348,518 × 348,518
  4. Step 4: Simplify right side
    161,957x = 121,464,796,324
  5. Step 5: Solve for x
    x = 121,464,796,324/161,957
  6. Step 6: Final answer
    x = 749,981.76

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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.