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Finding the Third Proportional to 113,184 and 307,800

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Solution

The third proportional to 113,184 and 307,800 is: 837,051.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,184 : 307,800 = 307,800 : x
  2. Step 2: Convert to fraction form
    113,184/307,800 = 307,800/x
  3. Step 3: Cross multiply
    113,184x = 307,800 × 307,800
  4. Step 4: Simplify right side
    113,184x = 94,740,840,000
  5. Step 5: Solve for x
    x = 94,740,840,000/113,184
  6. Step 6: Final answer
    x = 837,051.53

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.