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Finding the Third Proportional to 182,066.50 and 372,879

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Solution

The third proportional to 182,066.50 and 372,879 is: 763,670.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,066.50 : 372,879 = 372,879 : x
  2. Step 2: Convert to fraction form
    182,066.50/372,879 = 372,879/x
  3. Step 3: Cross multiply
    182,066.50x = 372,879 × 372,879
  4. Step 4: Simplify right side
    182,066.50x = 139,038,748,641
  5. Step 5: Solve for x
    x = 139,038,748,641/182,066.50
  6. Step 6: Final answer
    x = 763,670.14

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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.