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Finding the Third Proportional to 232,596 and 368,910

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Solution

The third proportional to 232,596 and 368,910 is: 585,111.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,596 : 368,910 = 368,910 : x
  2. Step 2: Convert to fraction form
    232,596/368,910 = 368,910/x
  3. Step 3: Cross multiply
    232,596x = 368,910 × 368,910
  4. Step 4: Simplify right side
    232,596x = 136,094,588,100
  5. Step 5: Solve for x
    x = 136,094,588,100/232,596
  6. Step 6: Final answer
    x = 585,111.47

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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.