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Finding the Third Proportional to 237,965 and 350,359

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Solution

The third proportional to 237,965 and 350,359 is: 515,838.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,965 : 350,359 = 350,359 : x
  2. Step 2: Convert to fraction form
    237,965/350,359 = 350,359/x
  3. Step 3: Cross multiply
    237,965x = 350,359 × 350,359
  4. Step 4: Simplify right side
    237,965x = 122,751,428,881
  5. Step 5: Solve for x
    x = 122,751,428,881/237,965
  6. Step 6: Final answer
    x = 515,838.16

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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.