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Finding the Third Proportional to 258,516 and 372,343.50

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Solution

The third proportional to 258,516 and 372,343.50 is: 536,290.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,516 : 372,343.50 = 372,343.50 : x
  2. Step 2: Convert to fraction form
    258,516/372,343.50 = 372,343.50/x
  3. Step 3: Cross multiply
    258,516x = 372,343.50 × 372,343.50
  4. Step 4: Simplify right side
    258,516x = 138,639,681,992.25
  5. Step 5: Solve for x
    x = 138,639,681,992.25/258,516
  6. Step 6: Final answer
    x = 536,290.53

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.