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Finding the Third Proportional to 164,708 and 348,856

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Solution

The third proportional to 164,708 and 348,856 is: 738,886.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,708 : 348,856 = 348,856 : x
  2. Step 2: Convert to fraction form
    164,708/348,856 = 348,856/x
  3. Step 3: Cross multiply
    164,708x = 348,856 × 348,856
  4. Step 4: Simplify right side
    164,708x = 121,700,508,736
  5. Step 5: Solve for x
    x = 121,700,508,736/164,708
  6. Step 6: Final answer
    x = 738,886.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.