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Finding the Third Proportional to 236,857 and 364,070

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Solution

The third proportional to 236,857 and 364,070 is: 559,607.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,857 : 364,070 = 364,070 : x
  2. Step 2: Convert to fraction form
    236,857/364,070 = 364,070/x
  3. Step 3: Cross multiply
    236,857x = 364,070 × 364,070
  4. Step 4: Simplify right side
    236,857x = 132,546,964,900
  5. Step 5: Solve for x
    x = 132,546,964,900/236,857
  6. Step 6: Final answer
    x = 559,607.55

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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.