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Finding the Third Proportional to 180,871.50 and 392,871

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Solution

The third proportional to 180,871.50 and 392,871 is: 853,355.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,871.50 : 392,871 = 392,871 : x
  2. Step 2: Convert to fraction form
    180,871.50/392,871 = 392,871/x
  3. Step 3: Cross multiply
    180,871.50x = 392,871 × 392,871
  4. Step 4: Simplify right side
    180,871.50x = 154,347,622,641
  5. Step 5: Solve for x
    x = 154,347,622,641/180,871.50
  6. Step 6: Final answer
    x = 853,355.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.