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Finding the Third Proportional to 245,514 and 388,152

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Solution

The third proportional to 245,514 and 388,152 is: 613,659.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,514 : 388,152 = 388,152 : x
  2. Step 2: Convert to fraction form
    245,514/388,152 = 388,152/x
  3. Step 3: Cross multiply
    245,514x = 388,152 × 388,152
  4. Step 4: Simplify right side
    245,514x = 150,661,975,104
  5. Step 5: Solve for x
    x = 150,661,975,104/245,514
  6. Step 6: Final answer
    x = 613,659.40

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.