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Finding the Third Proportional to 180,576 and 373,488

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Solution

The third proportional to 180,576 and 373,488 is: 772,490.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,576 : 373,488 = 373,488 : x
  2. Step 2: Convert to fraction form
    180,576/373,488 = 373,488/x
  3. Step 3: Cross multiply
    180,576x = 373,488 × 373,488
  4. Step 4: Simplify right side
    180,576x = 139,493,286,144
  5. Step 5: Solve for x
    x = 139,493,286,144/180,576
  6. Step 6: Final answer
    x = 772,490.73

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.