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Finding the Third Proportional to 157,012 and 235,026

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Solution

The third proportional to 157,012 and 235,026 is: 351,802.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,012 : 235,026 = 235,026 : x
  2. Step 2: Convert to fraction form
    157,012/235,026 = 235,026/x
  3. Step 3: Cross multiply
    157,012x = 235,026 × 235,026
  4. Step 4: Simplify right side
    157,012x = 55,237,220,676
  5. Step 5: Solve for x
    x = 55,237,220,676/157,012
  6. Step 6: Final answer
    x = 351,802.54

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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.