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Finding the Third Proportional to 177,259.22 and 258,271.88

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Solution

The third proportional to 177,259.22 and 258,271.88 is: 376,309.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,259.22 : 258,271.88 = 258,271.88 : x
  2. Step 2: Convert to fraction form
    177,259.22/258,271.88 = 258,271.88/x
  3. Step 3: Cross multiply
    177,259.22x = 258,271.88 × 258,271.88
  4. Step 4: Simplify right side
    177,259.22x = 66,704,361,416.02
  5. Step 5: Solve for x
    x = 66,704,361,416.02/177,259.22
  6. Step 6: Final answer
    x = 376,309.69

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.