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Finding the Third Proportional to 237,824 and 348,202

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Solution

The third proportional to 237,824 and 348,202 is: 509,808.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,824 : 348,202 = 348,202 : x
  2. Step 2: Convert to fraction form
    237,824/348,202 = 348,202/x
  3. Step 3: Cross multiply
    237,824x = 348,202 × 348,202
  4. Step 4: Simplify right side
    237,824x = 121,244,632,804
  5. Step 5: Solve for x
    x = 121,244,632,804/237,824
  6. Step 6: Final answer
    x = 509,808.23

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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.