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Finding the Third Proportional to 182,763 and 423,070.50

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Solution

The third proportional to 182,763 and 423,070.50 is: 979,348.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,763 : 423,070.50 = 423,070.50 : x
  2. Step 2: Convert to fraction form
    182,763/423,070.50 = 423,070.50/x
  3. Step 3: Cross multiply
    182,763x = 423,070.50 × 423,070.50
  4. Step 4: Simplify right side
    182,763x = 178,988,647,970.25
  5. Step 5: Solve for x
    x = 178,988,647,970.25/182,763
  6. Step 6: Final answer
    x = 979,348.38

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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.