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Finding the Third Proportional to 147,615 and 234,998

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Solution

The third proportional to 147,615 and 234,998 is: 374,108.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,615 : 234,998 = 234,998 : x
  2. Step 2: Convert to fraction form
    147,615/234,998 = 234,998/x
  3. Step 3: Cross multiply
    147,615x = 234,998 × 234,998
  4. Step 4: Simplify right side
    147,615x = 55,224,060,004
  5. Step 5: Solve for x
    x = 55,224,060,004/147,615
  6. Step 6: Final answer
    x = 374,108.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.