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Finding the Third Proportional to 145,787.63 and 228,198.75

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Solution

The third proportional to 145,787.63 and 228,198.75 is: 357,195.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,787.63 : 228,198.75 = 228,198.75 : x
  2. Step 2: Convert to fraction form
    145,787.63/228,198.75 = 228,198.75/x
  3. Step 3: Cross multiply
    145,787.63x = 228,198.75 × 228,198.75
  4. Step 4: Simplify right side
    145,787.63x = 52,074,669,501.56
  5. Step 5: Solve for x
    x = 52,074,669,501.56/145,787.63
  6. Step 6: Final answer
    x = 357,195.40

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.