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Finding the Third Proportional to 154,228.50 and 357,006

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Solution

The third proportional to 154,228.50 and 357,006 is: 826,392.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,228.50 : 357,006 = 357,006 : x
  2. Step 2: Convert to fraction form
    154,228.50/357,006 = 357,006/x
  3. Step 3: Cross multiply
    154,228.50x = 357,006 × 357,006
  4. Step 4: Simplify right side
    154,228.50x = 127,453,284,036
  5. Step 5: Solve for x
    x = 127,453,284,036/154,228.50
  6. Step 6: Final answer
    x = 826,392.55

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.