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Finding the Third Proportional to 159,357 and 235,390.50

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Solution

The third proportional to 159,357 and 235,390.50 is: 347,701.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,357 : 235,390.50 = 235,390.50 : x
  2. Step 2: Convert to fraction form
    159,357/235,390.50 = 235,390.50/x
  3. Step 3: Cross multiply
    159,357x = 235,390.50 × 235,390.50
  4. Step 4: Simplify right side
    159,357x = 55,408,687,490.25
  5. Step 5: Solve for x
    x = 55,408,687,490.25/159,357
  6. Step 6: Final answer
    x = 347,701.62

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.