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Finding the Third Proportional to 175,056.19 and 384,009.19

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Solution

The third proportional to 175,056.19 and 384,009.19 is: 842,375.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,056.19 : 384,009.19 = 384,009.19 : x
  2. Step 2: Convert to fraction form
    175,056.19/384,009.19 = 384,009.19/x
  3. Step 3: Cross multiply
    175,056.19x = 384,009.19 × 384,009.19
  4. Step 4: Simplify right side
    175,056.19x = 147,463,056,084.41
  5. Step 5: Solve for x
    x = 147,463,056,084.41/175,056.19
  6. Step 6: Final answer
    x = 842,375.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.