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Finding the Third Proportional to 241,288 and 375,720

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Solution

The third proportional to 241,288 and 375,720 is: 585,049.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,288 : 375,720 = 375,720 : x
  2. Step 2: Convert to fraction form
    241,288/375,720 = 375,720/x
  3. Step 3: Cross multiply
    241,288x = 375,720 × 375,720
  4. Step 4: Simplify right side
    241,288x = 141,165,518,400
  5. Step 5: Solve for x
    x = 141,165,518,400/241,288
  6. Step 6: Final answer
    x = 585,049.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.