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Finding the Third Proportional to 194,959.09 and 260,774.12

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Solution

The third proportional to 194,959.09 and 260,774.12 is: 348,807.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,959.09 : 260,774.12 = 260,774.12 : x
  2. Step 2: Convert to fraction form
    194,959.09/260,774.12 = 260,774.12/x
  3. Step 3: Cross multiply
    194,959.09x = 260,774.12 × 260,774.12
  4. Step 4: Simplify right side
    194,959.09x = 68,003,142,232.22
  5. Step 5: Solve for x
    x = 68,003,142,232.22/194,959.09
  6. Step 6: Final answer
    x = 348,807.24

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.