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Finding the Third Proportional to 262,086.05 and 358,643.53

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Solution

The third proportional to 262,086.05 and 358,643.53 is: 490,774.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,086.05 : 358,643.53 = 358,643.53 : x
  2. Step 2: Convert to fraction form
    262,086.05/358,643.53 = 358,643.53/x
  3. Step 3: Cross multiply
    262,086.05x = 358,643.53 × 358,643.53
  4. Step 4: Simplify right side
    262,086.05x = 128,625,182,507.47
  5. Step 5: Solve for x
    x = 128,625,182,507.47/262,086.05
  6. Step 6: Final answer
    x = 490,774.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.