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Finding the Third Proportional to 197,351 and 415,332

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Solution

The third proportional to 197,351 and 415,332 is: 874,080.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,351 : 415,332 = 415,332 : x
  2. Step 2: Convert to fraction form
    197,351/415,332 = 415,332/x
  3. Step 3: Cross multiply
    197,351x = 415,332 × 415,332
  4. Step 4: Simplify right side
    197,351x = 172,500,670,224
  5. Step 5: Solve for x
    x = 172,500,670,224/197,351
  6. Step 6: Final answer
    x = 874,080.55

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.