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Finding the Third Proportional to 266,080 and 389,184

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Solution

The third proportional to 266,080 and 389,184 is: 569,243.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,080 : 389,184 = 389,184 : x
  2. Step 2: Convert to fraction form
    266,080/389,184 = 389,184/x
  3. Step 3: Cross multiply
    266,080x = 389,184 × 389,184
  4. Step 4: Simplify right side
    266,080x = 151,464,185,856
  5. Step 5: Solve for x
    x = 151,464,185,856/266,080
  6. Step 6: Final answer
    x = 569,243.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.