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Finding the Third Proportional to 200,916 and 294,813

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Solution

The third proportional to 200,916 and 294,813 is: 432,592.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,916 : 294,813 = 294,813 : x
  2. Step 2: Convert to fraction form
    200,916/294,813 = 294,813/x
  3. Step 3: Cross multiply
    200,916x = 294,813 × 294,813
  4. Step 4: Simplify right side
    200,916x = 86,914,704,969
  5. Step 5: Solve for x
    x = 86,914,704,969/200,916
  6. Step 6: Final answer
    x = 432,592.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.