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Finding the Third Proportional to 162,457 and 337,914

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Solution

The third proportional to 162,457 and 337,914 is: 702,868.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,457 : 337,914 = 337,914 : x
  2. Step 2: Convert to fraction form
    162,457/337,914 = 337,914/x
  3. Step 3: Cross multiply
    162,457x = 337,914 × 337,914
  4. Step 4: Simplify right side
    162,457x = 114,185,871,396
  5. Step 5: Solve for x
    x = 114,185,871,396/162,457
  6. Step 6: Final answer
    x = 702,868.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.