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Finding the Third Proportional to 160,738 and 242,562

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Solution

The third proportional to 160,738 and 242,562 is: 366,038.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,738 : 242,562 = 242,562 : x
  2. Step 2: Convert to fraction form
    160,738/242,562 = 242,562/x
  3. Step 3: Cross multiply
    160,738x = 242,562 × 242,562
  4. Step 4: Simplify right side
    160,738x = 58,836,323,844
  5. Step 5: Solve for x
    x = 58,836,323,844/160,738
  6. Step 6: Final answer
    x = 366,038.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.