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Finding the Third Proportional to 103,080 and 225,840

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Solution

The third proportional to 103,080 and 225,840 is: 494,797.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,080 : 225,840 = 225,840 : x
  2. Step 2: Convert to fraction form
    103,080/225,840 = 225,840/x
  3. Step 3: Cross multiply
    103,080x = 225,840 × 225,840
  4. Step 4: Simplify right side
    103,080x = 51,003,705,600
  5. Step 5: Solve for x
    x = 51,003,705,600/103,080
  6. Step 6: Final answer
    x = 494,797.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.