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Finding the Third Proportional to 176,364 and 380,605.50

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Solution

The third proportional to 176,364 and 380,605.50 is: 821,372.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,364 : 380,605.50 = 380,605.50 : x
  2. Step 2: Convert to fraction form
    176,364/380,605.50 = 380,605.50/x
  3. Step 3: Cross multiply
    176,364x = 380,605.50 × 380,605.50
  4. Step 4: Simplify right side
    176,364x = 144,860,546,630.25
  5. Step 5: Solve for x
    x = 144,860,546,630.25/176,364
  6. Step 6: Final answer
    x = 821,372.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.