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Finding the Third Proportional to 238,224 and 361,710

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Solution

The third proportional to 238,224 and 361,710 is: 549,206.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,224 : 361,710 = 361,710 : x
  2. Step 2: Convert to fraction form
    238,224/361,710 = 361,710/x
  3. Step 3: Cross multiply
    238,224x = 361,710 × 361,710
  4. Step 4: Simplify right side
    238,224x = 130,834,124,100
  5. Step 5: Solve for x
    x = 130,834,124,100/238,224
  6. Step 6: Final answer
    x = 549,206.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.