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Finding the Third Proportional to 107,358 and 230,322

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Solution

The third proportional to 107,358 and 230,322 is: 494,124.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,358 : 230,322 = 230,322 : x
  2. Step 2: Convert to fraction form
    107,358/230,322 = 230,322/x
  3. Step 3: Cross multiply
    107,358x = 230,322 × 230,322
  4. Step 4: Simplify right side
    107,358x = 53,048,223,684
  5. Step 5: Solve for x
    x = 53,048,223,684/107,358
  6. Step 6: Final answer
    x = 494,124.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.