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Finding the Third Proportional to 196,587 and 294,178.50

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Solution

The third proportional to 196,587 and 294,178.50 is: 440,217.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,587 : 294,178.50 = 294,178.50 : x
  2. Step 2: Convert to fraction form
    196,587/294,178.50 = 294,178.50/x
  3. Step 3: Cross multiply
    196,587x = 294,178.50 × 294,178.50
  4. Step 4: Simplify right side
    196,587x = 86,540,989,862.25
  5. Step 5: Solve for x
    x = 86,540,989,862.25/196,587
  6. Step 6: Final answer
    x = 440,217.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.