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Finding the Third Proportional to 237,008 and 364,308

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Solution

The third proportional to 237,008 and 364,308 is: 559,982.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,008 : 364,308 = 364,308 : x
  2. Step 2: Convert to fraction form
    237,008/364,308 = 364,308/x
  3. Step 3: Cross multiply
    237,008x = 364,308 × 364,308
  4. Step 4: Simplify right side
    237,008x = 132,720,318,864
  5. Step 5: Solve for x
    x = 132,720,318,864/237,008
  6. Step 6: Final answer
    x = 559,982.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.