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Finding the Third Proportional to 344,167.50 and 738,156.75

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Solution

The third proportional to 344,167.50 and 738,156.75 is: 1,583,169.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,167.50 : 738,156.75 = 738,156.75 : x
  2. Step 2: Convert to fraction form
    344,167.50/738,156.75 = 738,156.75/x
  3. Step 3: Cross multiply
    344,167.50x = 738,156.75 × 738,156.75
  4. Step 4: Simplify right side
    344,167.50x = 544,875,387,570.56
  5. Step 5: Solve for x
    x = 544,875,387,570.56/344,167.50
  6. Step 6: Final answer
    x = 1,583,169.21

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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.