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Finding the Third Proportional to 243,564.75 and 364,357.13

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Solution

The third proportional to 243,564.75 and 364,357.13 is: 545,054.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,564.75 : 364,357.13 = 364,357.13 : x
  2. Step 2: Convert to fraction form
    243,564.75/364,357.13 = 364,357.13/x
  3. Step 3: Cross multiply
    243,564.75x = 364,357.13 × 364,357.13
  4. Step 4: Simplify right side
    243,564.75x = 132,756,114,538.27
  5. Step 5: Solve for x
    x = 132,756,114,538.27/243,564.75
  6. Step 6: Final answer
    x = 545,054.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.