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Finding the Third Proportional to 153,696 and 325,632

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Solution

The third proportional to 153,696 and 325,632 is: 689,908.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,696 : 325,632 = 325,632 : x
  2. Step 2: Convert to fraction form
    153,696/325,632 = 325,632/x
  3. Step 3: Cross multiply
    153,696x = 325,632 × 325,632
  4. Step 4: Simplify right side
    153,696x = 106,036,199,424
  5. Step 5: Solve for x
    x = 106,036,199,424/153,696
  6. Step 6: Final answer
    x = 689,908.65

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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.