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Finding the Third Proportional to 162,098 and 260,445

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Solution

The third proportional to 162,098 and 260,445 is: 418,460.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,098 : 260,445 = 260,445 : x
  2. Step 2: Convert to fraction form
    162,098/260,445 = 260,445/x
  3. Step 3: Cross multiply
    162,098x = 260,445 × 260,445
  4. Step 4: Simplify right side
    162,098x = 67,831,598,025
  5. Step 5: Solve for x
    x = 67,831,598,025/162,098
  6. Step 6: Final answer
    x = 418,460.43

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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.