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Finding the Third Proportional to 159,407 and 238,803.50

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Solution

The third proportional to 159,407 and 238,803.50 is: 357,745.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,407 : 238,803.50 = 238,803.50 : x
  2. Step 2: Convert to fraction form
    159,407/238,803.50 = 238,803.50/x
  3. Step 3: Cross multiply
    159,407x = 238,803.50 × 238,803.50
  4. Step 4: Simplify right side
    159,407x = 57,027,111,612.25
  5. Step 5: Solve for x
    x = 57,027,111,612.25/159,407
  6. Step 6: Final answer
    x = 357,745.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.