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Finding the Third Proportional to 152,685 and 325,659

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Solution

The third proportional to 152,685 and 325,659 is: 694,592.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,685 : 325,659 = 325,659 : x
  2. Step 2: Convert to fraction form
    152,685/325,659 = 325,659/x
  3. Step 3: Cross multiply
    152,685x = 325,659 × 325,659
  4. Step 4: Simplify right side
    152,685x = 106,053,784,281
  5. Step 5: Solve for x
    x = 106,053,784,281/152,685
  6. Step 6: Final answer
    x = 694,592.03

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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.