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Finding the Third Proportional to 241,805.25 and 375,678

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Solution

The third proportional to 241,805.25 and 375,678 is: 583,667.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,805.25 : 375,678 = 375,678 : x
  2. Step 2: Convert to fraction form
    241,805.25/375,678 = 375,678/x
  3. Step 3: Cross multiply
    241,805.25x = 375,678 × 375,678
  4. Step 4: Simplify right side
    241,805.25x = 141,133,959,684
  5. Step 5: Solve for x
    x = 141,133,959,684/241,805.25
  6. Step 6: Final answer
    x = 583,667.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.