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Finding the Third Proportional to 192,521 and 299,253.50

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Solution

The third proportional to 192,521 and 299,253.50 is: 465,157.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,521 : 299,253.50 = 299,253.50 : x
  2. Step 2: Convert to fraction form
    192,521/299,253.50 = 299,253.50/x
  3. Step 3: Cross multiply
    192,521x = 299,253.50 × 299,253.50
  4. Step 4: Simplify right side
    192,521x = 89,552,657,262.25
  5. Step 5: Solve for x
    x = 89,552,657,262.25/192,521
  6. Step 6: Final answer
    x = 465,157.86

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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.