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Finding the Third Proportional to 232,846.88 and 341,604

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Solution

The third proportional to 232,846.88 and 341,604 is: 501,158.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,846.88 : 341,604 = 341,604 : x
  2. Step 2: Convert to fraction form
    232,846.88/341,604 = 341,604/x
  3. Step 3: Cross multiply
    232,846.88x = 341,604 × 341,604
  4. Step 4: Simplify right side
    232,846.88x = 116,693,292,816
  5. Step 5: Solve for x
    x = 116,693,292,816/232,846.88
  6. Step 6: Final answer
    x = 501,158.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.