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Finding the Third Proportional to 182,071.13 and 371,368.13

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Solution

The third proportional to 182,071.13 and 371,368.13 is: 757,474.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,071.13 : 371,368.13 = 371,368.13 : x
  2. Step 2: Convert to fraction form
    182,071.13/371,368.13 = 371,368.13/x
  3. Step 3: Cross multiply
    182,071.13x = 371,368.13 × 371,368.13
  4. Step 4: Simplify right side
    182,071.13x = 137,914,284,266.02
  5. Step 5: Solve for x
    x = 137,914,284,266.02/182,071.13
  6. Step 6: Final answer
    x = 757,474.77

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.