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Finding the Third Proportional to 188,888.63 and 285,152.06

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Solution

The third proportional to 188,888.63 and 285,152.06 is: 430,474.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,888.63 : 285,152.06 = 285,152.06 : x
  2. Step 2: Convert to fraction form
    188,888.63/285,152.06 = 285,152.06/x
  3. Step 3: Cross multiply
    188,888.63x = 285,152.06 × 285,152.06
  4. Step 4: Simplify right side
    188,888.63x = 81,311,698,748.00
  5. Step 5: Solve for x
    x = 81,311,698,748.00/188,888.63
  6. Step 6: Final answer
    x = 430,474.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.