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Finding the Third Proportional to 235,520 and 510,184

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Solution

The third proportional to 235,520 and 510,184 is: 1,105,161.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,520 : 510,184 = 510,184 : x
  2. Step 2: Convert to fraction form
    235,520/510,184 = 510,184/x
  3. Step 3: Cross multiply
    235,520x = 510,184 × 510,184
  4. Step 4: Simplify right side
    235,520x = 260,287,713,856
  5. Step 5: Solve for x
    x = 260,287,713,856/235,520
  6. Step 6: Final answer
    x = 1,105,161.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.