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Finding the Third Proportional to 160,410 and 348,138

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Solution

The third proportional to 160,410 and 348,138 is: 755,564.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,410 : 348,138 = 348,138 : x
  2. Step 2: Convert to fraction form
    160,410/348,138 = 348,138/x
  3. Step 3: Cross multiply
    160,410x = 348,138 × 348,138
  4. Step 4: Simplify right side
    160,410x = 121,200,067,044
  5. Step 5: Solve for x
    x = 121,200,067,044/160,410
  6. Step 6: Final answer
    x = 755,564.29

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Why These Related Problems?

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