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Finding the Third Proportional to 237,820 and 348,197

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Solution

The third proportional to 237,820 and 348,197 is: 509,802.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,820 : 348,197 = 348,197 : x
  2. Step 2: Convert to fraction form
    237,820/348,197 = 348,197/x
  3. Step 3: Cross multiply
    237,820x = 348,197 × 348,197
  4. Step 4: Simplify right side
    237,820x = 121,241,150,809
  5. Step 5: Solve for x
    x = 121,241,150,809/237,820
  6. Step 6: Final answer
    x = 509,802.16

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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.