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Finding the Third Proportional to 197,719 and 306,409

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Solution

The third proportional to 197,719 and 306,409 is: 474,848.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,719 : 306,409 = 306,409 : x
  2. Step 2: Convert to fraction form
    197,719/306,409 = 306,409/x
  3. Step 3: Cross multiply
    197,719x = 306,409 × 306,409
  4. Step 4: Simplify right side
    197,719x = 93,886,475,281
  5. Step 5: Solve for x
    x = 93,886,475,281/197,719
  6. Step 6: Final answer
    x = 474,848.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.