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Finding the Third Proportional to 155,990 and 223,073.50

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Solution

The third proportional to 155,990 and 223,073.50 is: 319,006.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,990 : 223,073.50 = 223,073.50 : x
  2. Step 2: Convert to fraction form
    155,990/223,073.50 = 223,073.50/x
  3. Step 3: Cross multiply
    155,990x = 223,073.50 × 223,073.50
  4. Step 4: Simplify right side
    155,990x = 49,761,786,402.25
  5. Step 5: Solve for x
    x = 49,761,786,402.25/155,990
  6. Step 6: Final answer
    x = 319,006.26

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.