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Finding the Third Proportional to 232,504 and 359,124

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Solution

The third proportional to 232,504 and 359,124 is: 554,700.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,504 : 359,124 = 359,124 : x
  2. Step 2: Convert to fraction form
    232,504/359,124 = 359,124/x
  3. Step 3: Cross multiply
    232,504x = 359,124 × 359,124
  4. Step 4: Simplify right side
    232,504x = 128,970,047,376
  5. Step 5: Solve for x
    x = 128,970,047,376/232,504
  6. Step 6: Final answer
    x = 554,700.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.