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Finding the Third Proportional to 181,176 and 426,297

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Solution

The third proportional to 181,176 and 426,297 is: 1,003,053.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,176 : 426,297 = 426,297 : x
  2. Step 2: Convert to fraction form
    181,176/426,297 = 426,297/x
  3. Step 3: Cross multiply
    181,176x = 426,297 × 426,297
  4. Step 4: Simplify right side
    181,176x = 181,729,132,209
  5. Step 5: Solve for x
    x = 181,729,132,209/181,176
  6. Step 6: Final answer
    x = 1,003,053.01

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.