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Finding the Third Proportional to 196,681.50 and 407,355.75

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Solution

The third proportional to 196,681.50 and 407,355.75 is: 843,692.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,681.50 : 407,355.75 = 407,355.75 : x
  2. Step 2: Convert to fraction form
    196,681.50/407,355.75 = 407,355.75/x
  3. Step 3: Cross multiply
    196,681.50x = 407,355.75 × 407,355.75
  4. Step 4: Simplify right side
    196,681.50x = 165,938,707,058.06
  5. Step 5: Solve for x
    x = 165,938,707,058.06/196,681.50
  6. Step 6: Final answer
    x = 843,692.50

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.