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Finding the Third Proportional to 84,768 and 180,492

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Solution

The third proportional to 84,768 and 180,492 is: 384,312.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,768 : 180,492 = 180,492 : x
  2. Step 2: Convert to fraction form
    84,768/180,492 = 180,492/x
  3. Step 3: Cross multiply
    84,768x = 180,492 × 180,492
  4. Step 4: Simplify right side
    84,768x = 32,577,362,064
  5. Step 5: Solve for x
    x = 32,577,362,064/84,768
  6. Step 6: Final answer
    x = 384,312.03

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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.