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Finding the Third Proportional to 223,043.63 and 345,485.25

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Solution

The third proportional to 223,043.63 and 345,485.25 is: 535,142.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,043.63 : 345,485.25 = 345,485.25 : x
  2. Step 2: Convert to fraction form
    223,043.63/345,485.25 = 345,485.25/x
  3. Step 3: Cross multiply
    223,043.63x = 345,485.25 × 345,485.25
  4. Step 4: Simplify right side
    223,043.63x = 119,360,057,967.56
  5. Step 5: Solve for x
    x = 119,360,057,967.56/223,043.63
  6. Step 6: Final answer
    x = 535,142.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.