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Finding the Third Proportional to 152,708 and 325,708

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Solution

The third proportional to 152,708 and 325,708 is: 694,696.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,708 : 325,708 = 325,708 : x
  2. Step 2: Convert to fraction form
    152,708/325,708 = 325,708/x
  3. Step 3: Cross multiply
    152,708x = 325,708 × 325,708
  4. Step 4: Simplify right side
    152,708x = 106,085,701,264
  5. Step 5: Solve for x
    x = 106,085,701,264/152,708
  6. Step 6: Final answer
    x = 694,696.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.