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Finding the Third Proportional to 153,980 and 225,636

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Solution

The third proportional to 153,980 and 225,636 is: 330,637.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,980 : 225,636 = 225,636 : x
  2. Step 2: Convert to fraction form
    153,980/225,636 = 225,636/x
  3. Step 3: Cross multiply
    153,980x = 225,636 × 225,636
  4. Step 4: Simplify right side
    153,980x = 50,911,604,496
  5. Step 5: Solve for x
    x = 50,911,604,496/153,980
  6. Step 6: Final answer
    x = 330,637.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.