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Finding the Third Proportional to 236,520 and 345,977

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Solution

The third proportional to 236,520 and 345,977 is: 506,088.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,520 : 345,977 = 345,977 : x
  2. Step 2: Convert to fraction form
    236,520/345,977 = 345,977/x
  3. Step 3: Cross multiply
    236,520x = 345,977 × 345,977
  4. Step 4: Simplify right side
    236,520x = 119,700,084,529
  5. Step 5: Solve for x
    x = 119,700,084,529/236,520
  6. Step 6: Final answer
    x = 506,088.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.