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Finding the Third Proportional to 264.83 and 555.29

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Solution

The third proportional to 264.83 and 555.29 is: 1,164.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.83 : 555.29 = 555.29 : x
  2. Step 2: Convert to fraction form
    264.83/555.29 = 555.29/x
  3. Step 3: Cross multiply
    264.83x = 555.29 × 555.29
  4. Step 4: Simplify right side
    264.83x = 308,350.28
  5. Step 5: Solve for x
    x = 308,350.28/264.83
  6. Step 6: Final answer
    x = 1,164.32

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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.