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Finding the Third Proportional to 174,036 and 276,925.50

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Solution

The third proportional to 174,036 and 276,925.50 is: 440,642.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,036 : 276,925.50 = 276,925.50 : x
  2. Step 2: Convert to fraction form
    174,036/276,925.50 = 276,925.50/x
  3. Step 3: Cross multiply
    174,036x = 276,925.50 × 276,925.50
  4. Step 4: Simplify right side
    174,036x = 76,687,732,550.25
  5. Step 5: Solve for x
    x = 76,687,732,550.25/174,036
  6. Step 6: Final answer
    x = 440,642.93

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.