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Finding the Third Proportional to 176,272.50 and 384,120

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Solution

The third proportional to 176,272.50 and 384,120 is: 837,045.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,272.50 : 384,120 = 384,120 : x
  2. Step 2: Convert to fraction form
    176,272.50/384,120 = 384,120/x
  3. Step 3: Cross multiply
    176,272.50x = 384,120 × 384,120
  4. Step 4: Simplify right side
    176,272.50x = 147,548,174,400
  5. Step 5: Solve for x
    x = 147,548,174,400/176,272.50
  6. Step 6: Final answer
    x = 837,045.91

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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.