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Finding the Third Proportional to 147,608.75 and 234,989

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Solution

The third proportional to 147,608.75 and 234,989 is: 374,095.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,608.75 : 234,989 = 234,989 : x
  2. Step 2: Convert to fraction form
    147,608.75/234,989 = 234,989/x
  3. Step 3: Cross multiply
    147,608.75x = 234,989 × 234,989
  4. Step 4: Simplify right side
    147,608.75x = 55,219,830,121
  5. Step 5: Solve for x
    x = 55,219,830,121/147,608.75
  6. Step 6: Final answer
    x = 374,095.91

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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.