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Finding the Third Proportional to 160,154 and 245,662

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Solution

The third proportional to 160,154 and 245,662 is: 376,823.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,154 : 245,662 = 245,662 : x
  2. Step 2: Convert to fraction form
    160,154/245,662 = 245,662/x
  3. Step 3: Cross multiply
    160,154x = 245,662 × 245,662
  4. Step 4: Simplify right side
    160,154x = 60,349,818,244
  5. Step 5: Solve for x
    x = 60,349,818,244/160,154
  6. Step 6: Final answer
    x = 376,823.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.