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Finding the Third Proportional to 183,590 and 258,518

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Solution

The third proportional to 183,590 and 258,518 is: 364,026.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,590 : 258,518 = 258,518 : x
  2. Step 2: Convert to fraction form
    183,590/258,518 = 258,518/x
  3. Step 3: Cross multiply
    183,590x = 258,518 × 258,518
  4. Step 4: Simplify right side
    183,590x = 66,831,556,324
  5. Step 5: Solve for x
    x = 66,831,556,324/183,590
  6. Step 6: Final answer
    x = 364,026.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.