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Finding the Third Proportional to 254,159.86 and 550,162.55

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Solution

The third proportional to 254,159.86 and 550,162.55 is: 1,190,899.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,159.86 : 550,162.55 = 550,162.55 : x
  2. Step 2: Convert to fraction form
    254,159.86/550,162.55 = 550,162.55/x
  3. Step 3: Cross multiply
    254,159.86x = 550,162.55 × 550,162.55
  4. Step 4: Simplify right side
    254,159.86x = 302,678,827,983.99
  5. Step 5: Solve for x
    x = 302,678,827,983.99/254,159.86
  6. Step 6: Final answer
    x = 1,190,899.42

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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.