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Finding the Third Proportional to 242,670.94 and 367,400.81

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Solution

The third proportional to 242,670.94 and 367,400.81 is: 556,240.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,670.94 : 367,400.81 = 367,400.81 : x
  2. Step 2: Convert to fraction form
    242,670.94/367,400.81 = 367,400.81/x
  3. Step 3: Cross multiply
    242,670.94x = 367,400.81 × 367,400.81
  4. Step 4: Simplify right side
    242,670.94x = 134,983,357,025.66
  5. Step 5: Solve for x
    x = 134,983,357,025.66/242,670.94
  6. Step 6: Final answer
    x = 556,240.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.