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Finding the Third Proportional to 197,766 and 314,433

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Solution

The third proportional to 197,766 and 314,433 is: 499,924.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,766 : 314,433 = 314,433 : x
  2. Step 2: Convert to fraction form
    197,766/314,433 = 314,433/x
  3. Step 3: Cross multiply
    197,766x = 314,433 × 314,433
  4. Step 4: Simplify right side
    197,766x = 98,868,111,489
  5. Step 5: Solve for x
    x = 98,868,111,489/197,766
  6. Step 6: Final answer
    x = 499,924.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.