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Finding the Third Proportional to 253,185.75 and 358,245.56

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Solution

The third proportional to 253,185.75 and 358,245.56 is: 506,900.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,185.75 : 358,245.56 = 358,245.56 : x
  2. Step 2: Convert to fraction form
    253,185.75/358,245.56 = 358,245.56/x
  3. Step 3: Cross multiply
    253,185.75x = 358,245.56 × 358,245.56
  4. Step 4: Simplify right side
    253,185.75x = 128,339,883,050.94
  5. Step 5: Solve for x
    x = 128,339,883,050.94/253,185.75
  6. Step 6: Final answer
    x = 506,900.10

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.