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Finding the Third Proportional to 153,622.50 and 223,679.25

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Solution

The third proportional to 153,622.50 and 223,679.25 is: 325,684.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,622.50 : 223,679.25 = 223,679.25 : x
  2. Step 2: Convert to fraction form
    153,622.50/223,679.25 = 223,679.25/x
  3. Step 3: Cross multiply
    153,622.50x = 223,679.25 × 223,679.25
  4. Step 4: Simplify right side
    153,622.50x = 50,032,406,880.56
  5. Step 5: Solve for x
    x = 50,032,406,880.56/153,622.50
  6. Step 6: Final answer
    x = 325,684.11

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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.