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Finding the Third Proportional to 264.66 and 555.05

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Solution

The third proportional to 264.66 and 555.05 is: 1,164.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.66 : 555.05 = 555.05 : x
  2. Step 2: Convert to fraction form
    264.66/555.05 = 555.05/x
  3. Step 3: Cross multiply
    264.66x = 555.05 × 555.05
  4. Step 4: Simplify right side
    264.66x = 308,077.03
  5. Step 5: Solve for x
    x = 308,077.03/264.66
  6. Step 6: Final answer
    x = 1,164.06

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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.