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Finding the Third Proportional to 236,857.50 and 364,071

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Solution

The third proportional to 236,857.50 and 364,071 is: 559,609.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,857.50 : 364,071 = 364,071 : x
  2. Step 2: Convert to fraction form
    236,857.50/364,071 = 364,071/x
  3. Step 3: Cross multiply
    236,857.50x = 364,071 × 364,071
  4. Step 4: Simplify right side
    236,857.50x = 132,547,693,041
  5. Step 5: Solve for x
    x = 132,547,693,041/236,857.50
  6. Step 6: Final answer
    x = 559,609.44

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