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Finding the Third Proportional to 238,426 and 360,069

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Solution

The third proportional to 238,426 and 360,069 is: 543,773.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,426 : 360,069 = 360,069 : x
  2. Step 2: Convert to fraction form
    238,426/360,069 = 360,069/x
  3. Step 3: Cross multiply
    238,426x = 360,069 × 360,069
  4. Step 4: Simplify right side
    238,426x = 129,649,684,761
  5. Step 5: Solve for x
    x = 129,649,684,761/238,426
  6. Step 6: Final answer
    x = 543,773.27

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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.