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Finding the Third Proportional to 232,080 and 349,968

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Solution

The third proportional to 232,080 and 349,968 is: 527,738.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,080 : 349,968 = 349,968 : x
  2. Step 2: Convert to fraction form
    232,080/349,968 = 349,968/x
  3. Step 3: Cross multiply
    232,080x = 349,968 × 349,968
  4. Step 4: Simplify right side
    232,080x = 122,477,601,024
  5. Step 5: Solve for x
    x = 122,477,601,024/232,080
  6. Step 6: Final answer
    x = 527,738.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.