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Finding the Third Proportional to 114,657.75 and 251,730

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Solution

The third proportional to 114,657.75 and 251,730 is: 552,670.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,657.75 : 251,730 = 251,730 : x
  2. Step 2: Convert to fraction form
    114,657.75/251,730 = 251,730/x
  3. Step 3: Cross multiply
    114,657.75x = 251,730 × 251,730
  4. Step 4: Simplify right side
    114,657.75x = 63,367,992,900
  5. Step 5: Solve for x
    x = 63,367,992,900/114,657.75
  6. Step 6: Final answer
    x = 552,670.82

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.