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Finding the Third Proportional to 237,818.25 and 348,195

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Solution

The third proportional to 237,818.25 and 348,195 is: 509,800.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,818.25 : 348,195 = 348,195 : x
  2. Step 2: Convert to fraction form
    237,818.25/348,195 = 348,195/x
  3. Step 3: Cross multiply
    237,818.25x = 348,195 × 348,195
  4. Step 4: Simplify right side
    237,818.25x = 121,239,758,025
  5. Step 5: Solve for x
    x = 121,239,758,025/237,818.25
  6. Step 6: Final answer
    x = 509,800.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.