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Finding the Third Proportional to 162,097 and 260,444

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Solution

The third proportional to 162,097 and 260,444 is: 418,459.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,097 : 260,444 = 260,444 : x
  2. Step 2: Convert to fraction form
    162,097/260,444 = 260,444/x
  3. Step 3: Cross multiply
    162,097x = 260,444 × 260,444
  4. Step 4: Simplify right side
    162,097x = 67,831,077,136
  5. Step 5: Solve for x
    x = 67,831,077,136/162,097
  6. Step 6: Final answer
    x = 418,459.79

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.