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Finding the Third Proportional to 237,788 and 347,932

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Solution

The third proportional to 237,788 and 347,932 is: 509,094.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,788 : 347,932 = 347,932 : x
  2. Step 2: Convert to fraction form
    237,788/347,932 = 347,932/x
  3. Step 3: Cross multiply
    237,788x = 347,932 × 347,932
  4. Step 4: Simplify right side
    237,788x = 121,056,676,624
  5. Step 5: Solve for x
    x = 121,056,676,624/237,788
  6. Step 6: Final answer
    x = 509,094.98

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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.