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Finding the Third Proportional to 237,714 and 349,497

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Solution

The third proportional to 237,714 and 349,497 is: 513,845.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,714 : 349,497 = 349,497 : x
  2. Step 2: Convert to fraction form
    237,714/349,497 = 349,497/x
  3. Step 3: Cross multiply
    237,714x = 349,497 × 349,497
  4. Step 4: Simplify right side
    237,714x = 122,148,153,009
  5. Step 5: Solve for x
    x = 122,148,153,009/237,714
  6. Step 6: Final answer
    x = 513,845.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.