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Finding the Third Proportional to 197,762 and 294,411

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Solution

The third proportional to 197,762 and 294,411 is: 438,293.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,762 : 294,411 = 294,411 : x
  2. Step 2: Convert to fraction form
    197,762/294,411 = 294,411/x
  3. Step 3: Cross multiply
    197,762x = 294,411 × 294,411
  4. Step 4: Simplify right side
    197,762x = 86,677,836,921
  5. Step 5: Solve for x
    x = 86,677,836,921/197,762
  6. Step 6: Final answer
    x = 438,293.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.