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Finding the Third Proportional to 176,364 and 264,132.50

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Solution

The third proportional to 176,364 and 264,132.50 is: 395,579.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,364 : 264,132.50 = 264,132.50 : x
  2. Step 2: Convert to fraction form
    176,364/264,132.50 = 264,132.50/x
  3. Step 3: Cross multiply
    176,364x = 264,132.50 × 264,132.50
  4. Step 4: Simplify right side
    176,364x = 69,765,977,556.25
  5. Step 5: Solve for x
    x = 69,765,977,556.25/176,364
  6. Step 6: Final answer
    x = 395,579.47

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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.