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Finding the Third Proportional to 105,013 and 230,438

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Solution

The third proportional to 105,013 and 230,438 is: 505,667.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,013 : 230,438 = 230,438 : x
  2. Step 2: Convert to fraction form
    105,013/230,438 = 230,438/x
  3. Step 3: Cross multiply
    105,013x = 230,438 × 230,438
  4. Step 4: Simplify right side
    105,013x = 53,101,671,844
  5. Step 5: Solve for x
    x = 53,101,671,844/105,013
  6. Step 6: Final answer
    x = 505,667.60

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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.