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Finding the Third Proportional to 236,803.50 and 507,195

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Solution

The third proportional to 236,803.50 and 507,195 is: 1,086,330.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,803.50 : 507,195 = 507,195 : x
  2. Step 2: Convert to fraction form
    236,803.50/507,195 = 507,195/x
  3. Step 3: Cross multiply
    236,803.50x = 507,195 × 507,195
  4. Step 4: Simplify right side
    236,803.50x = 257,246,768,025
  5. Step 5: Solve for x
    x = 257,246,768,025/236,803.50
  6. Step 6: Final answer
    x = 1,086,330.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.