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Finding the Third Proportional to 179,688 and 299,454

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Solution

The third proportional to 179,688 and 299,454 is: 499,046.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,688 : 299,454 = 299,454 : x
  2. Step 2: Convert to fraction form
    179,688/299,454 = 299,454/x
  3. Step 3: Cross multiply
    179,688x = 299,454 × 299,454
  4. Step 4: Simplify right side
    179,688x = 89,672,698,116
  5. Step 5: Solve for x
    x = 89,672,698,116/179,688
  6. Step 6: Final answer
    x = 499,046.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.