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Finding the Third Proportional to 103,428 and 230,256

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Solution

The third proportional to 103,428 and 230,256 is: 512,606.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,428 : 230,256 = 230,256 : x
  2. Step 2: Convert to fraction form
    103,428/230,256 = 230,256/x
  3. Step 3: Cross multiply
    103,428x = 230,256 × 230,256
  4. Step 4: Simplify right side
    103,428x = 53,017,825,536
  5. Step 5: Solve for x
    x = 53,017,825,536/103,428
  6. Step 6: Final answer
    x = 512,606.12

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.