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Finding the Third Proportional to 176,970 and 385,041

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Solution

The third proportional to 176,970 and 385,041 is: 837,749.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,970 : 385,041 = 385,041 : x
  2. Step 2: Convert to fraction form
    176,970/385,041 = 385,041/x
  3. Step 3: Cross multiply
    176,970x = 385,041 × 385,041
  4. Step 4: Simplify right side
    176,970x = 148,256,571,681
  5. Step 5: Solve for x
    x = 148,256,571,681/176,970
  6. Step 6: Final answer
    x = 837,749.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.