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Finding the Third Proportional to 182,773 and 423,084

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Solution

The third proportional to 182,773 and 423,084 is: 979,357.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,773 : 423,084 = 423,084 : x
  2. Step 2: Convert to fraction form
    182,773/423,084 = 423,084/x
  3. Step 3: Cross multiply
    182,773x = 423,084 × 423,084
  4. Step 4: Simplify right side
    182,773x = 179,000,071,056
  5. Step 5: Solve for x
    x = 179,000,071,056/182,773
  6. Step 6: Final answer
    x = 979,357.30

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.