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Finding the Third Proportional to 238,102 and 359,586

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Solution

The third proportional to 238,102 and 359,586 is: 543,053.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,102 : 359,586 = 359,586 : x
  2. Step 2: Convert to fraction form
    238,102/359,586 = 359,586/x
  3. Step 3: Cross multiply
    238,102x = 359,586 × 359,586
  4. Step 4: Simplify right side
    238,102x = 129,302,091,396
  5. Step 5: Solve for x
    x = 129,302,091,396/238,102
  6. Step 6: Final answer
    x = 543,053.36

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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.