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Finding the Third Proportional to 162,989 and 259,347

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Solution

The third proportional to 162,989 and 259,347 is: 412,671.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,989 : 259,347 = 259,347 : x
  2. Step 2: Convert to fraction form
    162,989/259,347 = 259,347/x
  3. Step 3: Cross multiply
    162,989x = 259,347 × 259,347
  4. Step 4: Simplify right side
    162,989x = 67,260,866,409
  5. Step 5: Solve for x
    x = 67,260,866,409/162,989
  6. Step 6: Final answer
    x = 412,671.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.