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Finding the Third Proportional to 238,541 and 322,813

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Solution

The third proportional to 238,541 and 322,813 is: 436,856.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,541 : 322,813 = 322,813 : x
  2. Step 2: Convert to fraction form
    238,541/322,813 = 322,813/x
  3. Step 3: Cross multiply
    238,541x = 322,813 × 322,813
  4. Step 4: Simplify right side
    238,541x = 104,208,232,969
  5. Step 5: Solve for x
    x = 104,208,232,969/238,541
  6. Step 6: Final answer
    x = 436,856.70

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.