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Finding the Third Proportional to 110,612.25 and 260,006.63

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Solution

The third proportional to 110,612.25 and 260,006.63 is: 611,175.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,612.25 : 260,006.63 = 260,006.63 : x
  2. Step 2: Convert to fraction form
    110,612.25/260,006.63 = 260,006.63/x
  3. Step 3: Cross multiply
    110,612.25x = 260,006.63 × 260,006.63
  4. Step 4: Simplify right side
    110,612.25x = 67,603,445,043.89
  5. Step 5: Solve for x
    x = 67,603,445,043.89/110,612.25
  6. Step 6: Final answer
    x = 611,175.03

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.