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Finding the Third Proportional to 162,045 and 245,306

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Solution

The third proportional to 162,045 and 245,306 is: 371,347.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,045 : 245,306 = 245,306 : x
  2. Step 2: Convert to fraction form
    162,045/245,306 = 245,306/x
  3. Step 3: Cross multiply
    162,045x = 245,306 × 245,306
  4. Step 4: Simplify right side
    162,045x = 60,175,033,636
  5. Step 5: Solve for x
    x = 60,175,033,636/162,045
  6. Step 6: Final answer
    x = 371,347.67

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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.