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Finding the Third Proportional to 223,590 and 359,037

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Solution

The third proportional to 223,590 and 359,037 is: 576,535.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,590 : 359,037 = 359,037 : x
  2. Step 2: Convert to fraction form
    223,590/359,037 = 359,037/x
  3. Step 3: Cross multiply
    223,590x = 359,037 × 359,037
  4. Step 4: Simplify right side
    223,590x = 128,907,567,369
  5. Step 5: Solve for x
    x = 128,907,567,369/223,590
  6. Step 6: Final answer
    x = 576,535.48

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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.