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Finding the Third Proportional to 176,070 and 264,949.50

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Solution

The third proportional to 176,070 and 264,949.50 is: 398,695.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,070 : 264,949.50 = 264,949.50 : x
  2. Step 2: Convert to fraction form
    176,070/264,949.50 = 264,949.50/x
  3. Step 3: Cross multiply
    176,070x = 264,949.50 × 264,949.50
  4. Step 4: Simplify right side
    176,070x = 70,198,237,550.25
  5. Step 5: Solve for x
    x = 70,198,237,550.25/176,070
  6. Step 6: Final answer
    x = 398,695.05

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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.