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Finding the Third Proportional to 143,781.50 and 302,435

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Solution

The third proportional to 143,781.50 and 302,435 is: 636,152.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,781.50 : 302,435 = 302,435 : x
  2. Step 2: Convert to fraction form
    143,781.50/302,435 = 302,435/x
  3. Step 3: Cross multiply
    143,781.50x = 302,435 × 302,435
  4. Step 4: Simplify right side
    143,781.50x = 91,466,929,225
  5. Step 5: Solve for x
    x = 91,466,929,225/143,781.50
  6. Step 6: Final answer
    x = 636,152.28

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.