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Finding the Third Proportional to 197,581 and 305,646

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Solution

The third proportional to 197,581 and 305,646 is: 472,816.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,581 : 305,646 = 305,646 : x
  2. Step 2: Convert to fraction form
    197,581/305,646 = 305,646/x
  3. Step 3: Cross multiply
    197,581x = 305,646 × 305,646
  4. Step 4: Simplify right side
    197,581x = 93,419,477,316
  5. Step 5: Solve for x
    x = 93,419,477,316/197,581
  6. Step 6: Final answer
    x = 472,816.10

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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.