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Finding the Third Proportional to 162,516 and 259,518

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Solution

The third proportional to 162,516 and 259,518 is: 414,418.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,516 : 259,518 = 259,518 : x
  2. Step 2: Convert to fraction form
    162,516/259,518 = 259,518/x
  3. Step 3: Cross multiply
    162,516x = 259,518 × 259,518
  4. Step 4: Simplify right side
    162,516x = 67,349,592,324
  5. Step 5: Solve for x
    x = 67,349,592,324/162,516
  6. Step 6: Final answer
    x = 414,418.23

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.