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Finding the Third Proportional to 237,827 and 348,207

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Solution

The third proportional to 237,827 and 348,207 is: 509,816.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,827 : 348,207 = 348,207 : x
  2. Step 2: Convert to fraction form
    237,827/348,207 = 348,207/x
  3. Step 3: Cross multiply
    237,827x = 348,207 × 348,207
  4. Step 4: Simplify right side
    237,827x = 121,248,114,849
  5. Step 5: Solve for x
    x = 121,248,114,849/237,827
  6. Step 6: Final answer
    x = 509,816.44

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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.