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Finding the Third Proportional to 160,204 and 346,106

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Solution

The third proportional to 160,204 and 346,106 is: 747,730.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,204 : 346,106 = 346,106 : x
  2. Step 2: Convert to fraction form
    160,204/346,106 = 346,106/x
  3. Step 3: Cross multiply
    160,204x = 346,106 × 346,106
  4. Step 4: Simplify right side
    160,204x = 119,789,363,236
  5. Step 5: Solve for x
    x = 119,789,363,236/160,204
  6. Step 6: Final answer
    x = 747,730.16

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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.