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Finding the Third Proportional to 237,950 and 350,346

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Solution

The third proportional to 237,950 and 350,346 is: 515,832.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,950 : 350,346 = 350,346 : x
  2. Step 2: Convert to fraction form
    237,950/350,346 = 350,346/x
  3. Step 3: Cross multiply
    237,950x = 350,346 × 350,346
  4. Step 4: Simplify right side
    237,950x = 122,742,319,716
  5. Step 5: Solve for x
    x = 122,742,319,716/237,950
  6. Step 6: Final answer
    x = 515,832.40

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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.