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Finding the Third Proportional to 233,572 and 356,190

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Solution

The third proportional to 233,572 and 356,190 is: 543,178.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,572 : 356,190 = 356,190 : x
  2. Step 2: Convert to fraction form
    233,572/356,190 = 356,190/x
  3. Step 3: Cross multiply
    233,572x = 356,190 × 356,190
  4. Step 4: Simplify right side
    233,572x = 126,871,316,100
  5. Step 5: Solve for x
    x = 126,871,316,100/233,572
  6. Step 6: Final answer
    x = 543,178.62

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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.