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Finding the Third Proportional to 84,080 and 180,553

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Solution

The third proportional to 84,080 and 180,553 is: 387,718.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,080 : 180,553 = 180,553 : x
  2. Step 2: Convert to fraction form
    84,080/180,553 = 180,553/x
  3. Step 3: Cross multiply
    84,080x = 180,553 × 180,553
  4. Step 4: Simplify right side
    84,080x = 32,599,385,809
  5. Step 5: Solve for x
    x = 32,599,385,809/84,080
  6. Step 6: Final answer
    x = 387,718.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.