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Finding the Third Proportional to 100,552 and 210,896

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Solution

The third proportional to 100,552 and 210,896 is: 442,329.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,552 : 210,896 = 210,896 : x
  2. Step 2: Convert to fraction form
    100,552/210,896 = 210,896/x
  3. Step 3: Cross multiply
    100,552x = 210,896 × 210,896
  4. Step 4: Simplify right side
    100,552x = 44,477,122,816
  5. Step 5: Solve for x
    x = 44,477,122,816/100,552
  6. Step 6: Final answer
    x = 442,329.57

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.