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Finding the Third Proportional to 196,681.50 and 349,713

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Solution

The third proportional to 196,681.50 and 349,713 is: 621,813.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,681.50 : 349,713 = 349,713 : x
  2. Step 2: Convert to fraction form
    196,681.50/349,713 = 349,713/x
  3. Step 3: Cross multiply
    196,681.50x = 349,713 × 349,713
  4. Step 4: Simplify right side
    196,681.50x = 122,299,182,369
  5. Step 5: Solve for x
    x = 122,299,182,369/196,681.50
  6. Step 6: Final answer
    x = 621,813.35

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.