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Finding the Third Proportional to 251,537 and 380,546

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Solution

The third proportional to 251,537 and 380,546 is: 575,721.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,537 : 380,546 = 380,546 : x
  2. Step 2: Convert to fraction form
    251,537/380,546 = 380,546/x
  3. Step 3: Cross multiply
    251,537x = 380,546 × 380,546
  4. Step 4: Simplify right side
    251,537x = 144,815,258,116
  5. Step 5: Solve for x
    x = 144,815,258,116/251,537
  6. Step 6: Final answer
    x = 575,721.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.