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Finding the Third Proportional to 344,167.31 and 738,156.38

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Solution

The third proportional to 344,167.31 and 738,156.38 is: 1,583,168.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,167.31 : 738,156.38 = 738,156.38 : x
  2. Step 2: Convert to fraction form
    344,167.31/738,156.38 = 738,156.38/x
  3. Step 3: Cross multiply
    344,167.31x = 738,156.38 × 738,156.38
  4. Step 4: Simplify right side
    344,167.31x = 544,874,833,953.14
  5. Step 5: Solve for x
    x = 544,874,833,953.14/344,167.31
  6. Step 6: Final answer
    x = 1,583,168.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.