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Finding the Third Proportional to 196,705.13 and 290,903.06

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Solution

The third proportional to 196,705.13 and 290,903.06 is: 430,210.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,705.13 : 290,903.06 = 290,903.06 : x
  2. Step 2: Convert to fraction form
    196,705.13/290,903.06 = 290,903.06/x
  3. Step 3: Cross multiply
    196,705.13x = 290,903.06 × 290,903.06
  4. Step 4: Simplify right side
    196,705.13x = 84,624,591,771.88
  5. Step 5: Solve for x
    x = 84,624,591,771.88/196,705.13
  6. Step 6: Final answer
    x = 430,210.41

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.