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Finding the Third Proportional to 193,752 and 418,080

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Solution

The third proportional to 193,752 and 418,080 is: 902,137.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,752 : 418,080 = 418,080 : x
  2. Step 2: Convert to fraction form
    193,752/418,080 = 418,080/x
  3. Step 3: Cross multiply
    193,752x = 418,080 × 418,080
  4. Step 4: Simplify right side
    193,752x = 174,790,886,400
  5. Step 5: Solve for x
    x = 174,790,886,400/193,752
  6. Step 6: Final answer
    x = 902,137.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.