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Finding the Third Proportional to 181,496 and 392,176

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Solution

The third proportional to 181,496 and 392,176 is: 847,412.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,496 : 392,176 = 392,176 : x
  2. Step 2: Convert to fraction form
    181,496/392,176 = 392,176/x
  3. Step 3: Cross multiply
    181,496x = 392,176 × 392,176
  4. Step 4: Simplify right side
    181,496x = 153,802,014,976
  5. Step 5: Solve for x
    x = 153,802,014,976/181,496
  6. Step 6: Final answer
    x = 847,412.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.