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Finding the Third Proportional to 183,556 and 258,492

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Solution

The third proportional to 183,556 and 258,492 is: 364,020.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,556 : 258,492 = 258,492 : x
  2. Step 2: Convert to fraction form
    183,556/258,492 = 258,492/x
  3. Step 3: Cross multiply
    183,556x = 258,492 × 258,492
  4. Step 4: Simplify right side
    183,556x = 66,818,114,064
  5. Step 5: Solve for x
    x = 66,818,114,064/183,556
  6. Step 6: Final answer
    x = 364,020.32

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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.