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Finding the Third Proportional to 237,736.13 and 348,069.75

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Solution

The third proportional to 237,736.13 and 348,069.75 is: 509,609.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,736.13 : 348,069.75 = 348,069.75 : x
  2. Step 2: Convert to fraction form
    237,736.13/348,069.75 = 348,069.75/x
  3. Step 3: Cross multiply
    237,736.13x = 348,069.75 × 348,069.75
  4. Step 4: Simplify right side
    237,736.13x = 121,152,550,865.06
  5. Step 5: Solve for x
    x = 121,152,550,865.06/237,736.13
  6. Step 6: Final answer
    x = 509,609.34

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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.