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Finding the Third Proportional to 180,063 and 386,813

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Solution

The third proportional to 180,063 and 386,813 is: 830,955.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,063 : 386,813 = 386,813 : x
  2. Step 2: Convert to fraction form
    180,063/386,813 = 386,813/x
  3. Step 3: Cross multiply
    180,063x = 386,813 × 386,813
  4. Step 4: Simplify right side
    180,063x = 149,624,296,969
  5. Step 5: Solve for x
    x = 149,624,296,969/180,063
  6. Step 6: Final answer
    x = 830,955.26

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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.