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Finding the Third Proportional to 195,640.50 and 262,053

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Solution

The third proportional to 195,640.50 and 262,053 is: 351,010.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,640.50 : 262,053 = 262,053 : x
  2. Step 2: Convert to fraction form
    195,640.50/262,053 = 262,053/x
  3. Step 3: Cross multiply
    195,640.50x = 262,053 × 262,053
  4. Step 4: Simplify right side
    195,640.50x = 68,671,774,809
  5. Step 5: Solve for x
    x = 68,671,774,809/195,640.50
  6. Step 6: Final answer
    x = 351,010.01

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.