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Finding the Third Proportional to 131,058 and 200,407.50

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Solution

The third proportional to 131,058 and 200,407.50 is: 306,453.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,058 : 200,407.50 = 200,407.50 : x
  2. Step 2: Convert to fraction form
    131,058/200,407.50 = 200,407.50/x
  3. Step 3: Cross multiply
    131,058x = 200,407.50 × 200,407.50
  4. Step 4: Simplify right side
    131,058x = 40,163,166,056.25
  5. Step 5: Solve for x
    x = 40,163,166,056.25/131,058
  6. Step 6: Final answer
    x = 306,453.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.