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Finding the Third Proportional to 160,708 and 348,178

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Solution

The third proportional to 160,708 and 348,178 is: 754,336.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,708 : 348,178 = 348,178 : x
  2. Step 2: Convert to fraction form
    160,708/348,178 = 348,178/x
  3. Step 3: Cross multiply
    160,708x = 348,178 × 348,178
  4. Step 4: Simplify right side
    160,708x = 121,227,919,684
  5. Step 5: Solve for x
    x = 121,227,919,684/160,708
  6. Step 6: Final answer
    x = 754,336.56

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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.