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Finding the Third Proportional to 105,320 and 230,320

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Solution

The third proportional to 105,320 and 230,320 is: 503,677.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,320 : 230,320 = 230,320 : x
  2. Step 2: Convert to fraction form
    105,320/230,320 = 230,320/x
  3. Step 3: Cross multiply
    105,320x = 230,320 × 230,320
  4. Step 4: Simplify right side
    105,320x = 53,047,302,400
  5. Step 5: Solve for x
    x = 53,047,302,400/105,320
  6. Step 6: Final answer
    x = 503,677.39

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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.