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Finding the Third Proportional to 161,746 and 345,658

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Solution

The third proportional to 161,746 and 345,658 is: 738,685.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,746 : 345,658 = 345,658 : x
  2. Step 2: Convert to fraction form
    161,746/345,658 = 345,658/x
  3. Step 3: Cross multiply
    161,746x = 345,658 × 345,658
  4. Step 4: Simplify right side
    161,746x = 119,479,452,964
  5. Step 5: Solve for x
    x = 119,479,452,964/161,746
  6. Step 6: Final answer
    x = 738,685.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.