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Finding the Third Proportional to 253,810.50 and 541,871

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Solution

The third proportional to 253,810.50 and 541,871 is: 1,156,863.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,810.50 : 541,871 = 541,871 : x
  2. Step 2: Convert to fraction form
    253,810.50/541,871 = 541,871/x
  3. Step 3: Cross multiply
    253,810.50x = 541,871 × 541,871
  4. Step 4: Simplify right side
    253,810.50x = 293,624,180,641
  5. Step 5: Solve for x
    x = 293,624,180,641/253,810.50
  6. Step 6: Final answer
    x = 1,156,863.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.