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Finding the Third Proportional to 156,136.50 and 304,497

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Solution

The third proportional to 156,136.50 and 304,497 is: 593,829.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,136.50 : 304,497 = 304,497 : x
  2. Step 2: Convert to fraction form
    156,136.50/304,497 = 304,497/x
  3. Step 3: Cross multiply
    156,136.50x = 304,497 × 304,497
  4. Step 4: Simplify right side
    156,136.50x = 92,718,423,009
  5. Step 5: Solve for x
    x = 92,718,423,009/156,136.50
  6. Step 6: Final answer
    x = 593,829.26

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.