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Finding the Third Proportional to 146,346.75 and 218,281.50

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Solution

The third proportional to 146,346.75 and 218,281.50 is: 325,574.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,346.75 : 218,281.50 = 218,281.50 : x
  2. Step 2: Convert to fraction form
    146,346.75/218,281.50 = 218,281.50/x
  3. Step 3: Cross multiply
    146,346.75x = 218,281.50 × 218,281.50
  4. Step 4: Simplify right side
    146,346.75x = 47,646,813,242.25
  5. Step 5: Solve for x
    x = 47,646,813,242.25/146,346.75
  6. Step 6: Final answer
    x = 325,574.80

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