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Finding the Third Proportional to 238,806 and 372,735

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Solution

The third proportional to 238,806 and 372,735 is: 581,775.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,806 : 372,735 = 372,735 : x
  2. Step 2: Convert to fraction form
    238,806/372,735 = 372,735/x
  3. Step 3: Cross multiply
    238,806x = 372,735 × 372,735
  4. Step 4: Simplify right side
    238,806x = 138,931,380,225
  5. Step 5: Solve for x
    x = 138,931,380,225/238,806
  6. Step 6: Final answer
    x = 581,775.08

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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.