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Finding the Third Proportional to 160,018 and 345,708

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Solution

The third proportional to 160,018 and 345,708 is: 746,878.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,018 : 345,708 = 345,708 : x
  2. Step 2: Convert to fraction form
    160,018/345,708 = 345,708/x
  3. Step 3: Cross multiply
    160,018x = 345,708 × 345,708
  4. Step 4: Simplify right side
    160,018x = 119,514,021,264
  5. Step 5: Solve for x
    x = 119,514,021,264/160,018
  6. Step 6: Final answer
    x = 746,878.61

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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.