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Finding the Third Proportional to 152,670 and 325,630

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Solution

The third proportional to 152,670 and 325,630 is: 694,536.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,670 : 325,630 = 325,630 : x
  2. Step 2: Convert to fraction form
    152,670/325,630 = 325,630/x
  3. Step 3: Cross multiply
    152,670x = 325,630 × 325,630
  4. Step 4: Simplify right side
    152,670x = 106,034,896,900
  5. Step 5: Solve for x
    x = 106,034,896,900/152,670
  6. Step 6: Final answer
    x = 694,536.56

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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.