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Finding the Third Proportional to 103,688 and 227,464

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Solution

The third proportional to 103,688 and 227,464 is: 498,995.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,688 : 227,464 = 227,464 : x
  2. Step 2: Convert to fraction form
    103,688/227,464 = 227,464/x
  3. Step 3: Cross multiply
    103,688x = 227,464 × 227,464
  4. Step 4: Simplify right side
    103,688x = 51,739,871,296
  5. Step 5: Solve for x
    x = 51,739,871,296/103,688
  6. Step 6: Final answer
    x = 498,995.75

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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.