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Finding the Third Proportional to 222,680.81 and 525,136.50

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Solution

The third proportional to 222,680.81 and 525,136.50 is: 1,238,401.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,680.81 : 525,136.50 = 525,136.50 : x
  2. Step 2: Convert to fraction form
    222,680.81/525,136.50 = 525,136.50/x
  3. Step 3: Cross multiply
    222,680.81x = 525,136.50 × 525,136.50
  4. Step 4: Simplify right side
    222,680.81x = 275,768,343,632.25
  5. Step 5: Solve for x
    x = 275,768,343,632.25/222,680.81
  6. Step 6: Final answer
    x = 1,238,401.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.