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Finding the Third Proportional to 197,076 and 294,318

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Solution

The third proportional to 197,076 and 294,318 is: 439,541.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,076 : 294,318 = 294,318 : x
  2. Step 2: Convert to fraction form
    197,076/294,318 = 294,318/x
  3. Step 3: Cross multiply
    197,076x = 294,318 × 294,318
  4. Step 4: Simplify right side
    197,076x = 86,623,085,124
  5. Step 5: Solve for x
    x = 86,623,085,124/197,076
  6. Step 6: Final answer
    x = 439,541.52

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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.