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Finding the Third Proportional to 237,817.50 and 348,194.25

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Solution

The third proportional to 237,817.50 and 348,194.25 is: 509,799.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,817.50 : 348,194.25 = 348,194.25 : x
  2. Step 2: Convert to fraction form
    237,817.50/348,194.25 = 348,194.25/x
  3. Step 3: Cross multiply
    237,817.50x = 348,194.25 × 348,194.25
  4. Step 4: Simplify right side
    237,817.50x = 121,239,235,733.06
  5. Step 5: Solve for x
    x = 121,239,235,733.06/237,817.50
  6. Step 6: Final answer
    x = 509,799.47

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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.