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Finding the Third Proportional to 106,060 and 230,346

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Solution

The third proportional to 106,060 and 230,346 is: 500,276.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,060 : 230,346 = 230,346 : x
  2. Step 2: Convert to fraction form
    106,060/230,346 = 230,346/x
  3. Step 3: Cross multiply
    106,060x = 230,346 × 230,346
  4. Step 4: Simplify right side
    106,060x = 53,059,279,716
  5. Step 5: Solve for x
    x = 53,059,279,716/106,060
  6. Step 6: Final answer
    x = 500,276.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.