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Finding the Third Proportional to 171,814 and 348,460

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Solution

The third proportional to 171,814 and 348,460 is: 706,719.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,814 : 348,460 = 348,460 : x
  2. Step 2: Convert to fraction form
    171,814/348,460 = 348,460/x
  3. Step 3: Cross multiply
    171,814x = 348,460 × 348,460
  4. Step 4: Simplify right side
    171,814x = 121,424,371,600
  5. Step 5: Solve for x
    x = 121,424,371,600/171,814
  6. Step 6: Final answer
    x = 706,719.89

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.