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Finding the Third Proportional to 232,848 and 353,646

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Solution

The third proportional to 232,848 and 353,646 is: 537,112.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,848 : 353,646 = 353,646 : x
  2. Step 2: Convert to fraction form
    232,848/353,646 = 353,646/x
  3. Step 3: Cross multiply
    232,848x = 353,646 × 353,646
  4. Step 4: Simplify right side
    232,848x = 125,065,493,316
  5. Step 5: Solve for x
    x = 125,065,493,316/232,848
  6. Step 6: Final answer
    x = 537,112.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.