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Finding the Third Proportional to 175,506.75 and 364,509.49

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Solution

The third proportional to 175,506.75 and 364,509.49 is: 757,048.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,506.75 : 364,509.49 = 364,509.49 : x
  2. Step 2: Convert to fraction form
    175,506.75/364,509.49 = 364,509.49/x
  3. Step 3: Cross multiply
    175,506.75x = 364,509.49 × 364,509.49
  4. Step 4: Simplify right side
    175,506.75x = 132,867,169,894.79
  5. Step 5: Solve for x
    x = 132,867,169,894.79/175,506.75
  6. Step 6: Final answer
    x = 757,048.77

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.