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Finding the Third Proportional to 194,811.50 and 293,506.50

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Solution

The third proportional to 194,811.50 and 293,506.50 is: 442,202.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,811.50 : 293,506.50 = 293,506.50 : x
  2. Step 2: Convert to fraction form
    194,811.50/293,506.50 = 293,506.50/x
  3. Step 3: Cross multiply
    194,811.50x = 293,506.50 × 293,506.50
  4. Step 4: Simplify right side
    194,811.50x = 86,146,065,542.25
  5. Step 5: Solve for x
    x = 86,146,065,542.25/194,811.50
  6. Step 6: Final answer
    x = 442,202.16

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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.