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Finding the Third Proportional to 84,770 and 180,496

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Solution

The third proportional to 84,770 and 180,496 is: 384,320.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,770 : 180,496 = 180,496 : x
  2. Step 2: Convert to fraction form
    84,770/180,496 = 180,496/x
  3. Step 3: Cross multiply
    84,770x = 180,496 × 180,496
  4. Step 4: Simplify right side
    84,770x = 32,578,806,016
  5. Step 5: Solve for x
    x = 32,578,806,016/84,770
  6. Step 6: Final answer
    x = 384,320.00

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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.