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Finding the Third Proportional to 155,574 and 339,304

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Solution

The third proportional to 155,574 and 339,304 is: 740,015.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,574 : 339,304 = 339,304 : x
  2. Step 2: Convert to fraction form
    155,574/339,304 = 339,304/x
  3. Step 3: Cross multiply
    155,574x = 339,304 × 339,304
  4. Step 4: Simplify right side
    155,574x = 115,127,204,416
  5. Step 5: Solve for x
    x = 115,127,204,416/155,574
  6. Step 6: Final answer
    x = 740,015.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.