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Finding the Third Proportional to 155,486 and 237,733

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Solution

The third proportional to 155,486 and 237,733 is: 363,485.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,486 : 237,733 = 237,733 : x
  2. Step 2: Convert to fraction form
    155,486/237,733 = 237,733/x
  3. Step 3: Cross multiply
    155,486x = 237,733 × 237,733
  4. Step 4: Simplify right side
    155,486x = 56,516,979,289
  5. Step 5: Solve for x
    x = 56,516,979,289/155,486
  6. Step 6: Final answer
    x = 363,485.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.