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Finding the Third Proportional to 160,412 and 348,145

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Solution

The third proportional to 160,412 and 348,145 is: 755,585.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,412 : 348,145 = 348,145 : x
  2. Step 2: Convert to fraction form
    160,412/348,145 = 348,145/x
  3. Step 3: Cross multiply
    160,412x = 348,145 × 348,145
  4. Step 4: Simplify right side
    160,412x = 121,204,941,025
  5. Step 5: Solve for x
    x = 121,204,941,025/160,412
  6. Step 6: Final answer
    x = 755,585.25

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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.