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Finding the Third Proportional to 232,705 and 373,353

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Solution

The third proportional to 232,705 and 373,353 is: 599,009.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,705 : 373,353 = 373,353 : x
  2. Step 2: Convert to fraction form
    232,705/373,353 = 373,353/x
  3. Step 3: Cross multiply
    232,705x = 373,353 × 373,353
  4. Step 4: Simplify right side
    232,705x = 139,392,462,609
  5. Step 5: Solve for x
    x = 139,392,462,609/232,705
  6. Step 6: Final answer
    x = 599,009.31

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.