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Finding the Third Proportional to 197,764 and 314,429

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Solution

The third proportional to 197,764 and 314,429 is: 499,917.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,764 : 314,429 = 314,429 : x
  2. Step 2: Convert to fraction form
    197,764/314,429 = 314,429/x
  3. Step 3: Cross multiply
    197,764x = 314,429 × 314,429
  4. Step 4: Simplify right side
    197,764x = 98,865,596,041
  5. Step 5: Solve for x
    x = 98,865,596,041/197,764
  6. Step 6: Final answer
    x = 499,917.05

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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.