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Finding the Third Proportional to 232,612.50 and 368,937

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Solution

The third proportional to 232,612.50 and 368,937 is: 585,155.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,612.50 : 368,937 = 368,937 : x
  2. Step 2: Convert to fraction form
    232,612.50/368,937 = 368,937/x
  3. Step 3: Cross multiply
    232,612.50x = 368,937 × 368,937
  4. Step 4: Simplify right side
    232,612.50x = 136,114,509,969
  5. Step 5: Solve for x
    x = 136,114,509,969/232,612.50
  6. Step 6: Final answer
    x = 585,155.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.