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Finding the Third Proportional to 146,281.50 and 218,465.25

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Solution

The third proportional to 146,281.50 and 218,465.25 is: 326,268.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,281.50 : 218,465.25 = 218,465.25 : x
  2. Step 2: Convert to fraction form
    146,281.50/218,465.25 = 218,465.25/x
  3. Step 3: Cross multiply
    146,281.50x = 218,465.25 × 218,465.25
  4. Step 4: Simplify right side
    146,281.50x = 47,727,065,457.56
  5. Step 5: Solve for x
    x = 47,727,065,457.56/146,281.50
  6. Step 6: Final answer
    x = 326,268.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.