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Finding the Third Proportional to 181,314 and 299,646

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Solution

The third proportional to 181,314 and 299,646 is: 495,205.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,314 : 299,646 = 299,646 : x
  2. Step 2: Convert to fraction form
    181,314/299,646 = 299,646/x
  3. Step 3: Cross multiply
    181,314x = 299,646 × 299,646
  4. Step 4: Simplify right side
    181,314x = 89,787,725,316
  5. Step 5: Solve for x
    x = 89,787,725,316/181,314
  6. Step 6: Final answer
    x = 495,205.69

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.