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Finding the Third Proportional to 181,752 and 372,570

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Solution

The third proportional to 181,752 and 372,570 is: 763,724.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,752 : 372,570 = 372,570 : x
  2. Step 2: Convert to fraction form
    181,752/372,570 = 372,570/x
  3. Step 3: Cross multiply
    181,752x = 372,570 × 372,570
  4. Step 4: Simplify right side
    181,752x = 138,808,404,900
  5. Step 5: Solve for x
    x = 138,808,404,900/181,752
  6. Step 6: Final answer
    x = 763,724.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.