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Finding the Third Proportional to 269,148 and 566,184

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Solution

The third proportional to 269,148 and 566,184 is: 1,191,033.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,148 : 566,184 = 566,184 : x
  2. Step 2: Convert to fraction form
    269,148/566,184 = 566,184/x
  3. Step 3: Cross multiply
    269,148x = 566,184 × 566,184
  4. Step 4: Simplify right side
    269,148x = 320,564,321,856
  5. Step 5: Solve for x
    x = 320,564,321,856/269,148
  6. Step 6: Final answer
    x = 1,191,033.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.