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Finding the Third Proportional to 105,456 and 227,040

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Solution

The third proportional to 105,456 and 227,040 is: 488,802.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,456 : 227,040 = 227,040 : x
  2. Step 2: Convert to fraction form
    105,456/227,040 = 227,040/x
  3. Step 3: Cross multiply
    105,456x = 227,040 × 227,040
  4. Step 4: Simplify right side
    105,456x = 51,547,161,600
  5. Step 5: Solve for x
    x = 51,547,161,600/105,456
  6. Step 6: Final answer
    x = 488,802.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.