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Finding the Third Proportional to 176,401.13 and 264,996.56

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Solution

The third proportional to 176,401.13 and 264,996.56 is: 398,088.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,401.13 : 264,996.56 = 264,996.56 : x
  2. Step 2: Convert to fraction form
    176,401.13/264,996.56 = 264,996.56/x
  3. Step 3: Cross multiply
    176,401.13x = 264,996.56 × 264,996.56
  4. Step 4: Simplify right side
    176,401.13x = 70,223,178,136.82
  5. Step 5: Solve for x
    x = 70,223,178,136.82/176,401.13
  6. Step 6: Final answer
    x = 398,088.04

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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.