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Finding the Third Proportional to 176,200 and 384,050

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Solution

The third proportional to 176,200 and 384,050 is: 837,085.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,200 : 384,050 = 384,050 : x
  2. Step 2: Convert to fraction form
    176,200/384,050 = 384,050/x
  3. Step 3: Cross multiply
    176,200x = 384,050 × 384,050
  4. Step 4: Simplify right side
    176,200x = 147,494,402,500
  5. Step 5: Solve for x
    x = 147,494,402,500/176,200
  6. Step 6: Final answer
    x = 837,085.14

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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.