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Finding the Third Proportional to 160,357 and 346,138

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Solution

The third proportional to 160,357 and 346,138 is: 747,154.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,357 : 346,138 = 346,138 : x
  2. Step 2: Convert to fraction form
    160,357/346,138 = 346,138/x
  3. Step 3: Cross multiply
    160,357x = 346,138 × 346,138
  4. Step 4: Simplify right side
    160,357x = 119,811,515,044
  5. Step 5: Solve for x
    x = 119,811,515,044/160,357
  6. Step 6: Final answer
    x = 747,154.88

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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.