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Finding the Third Proportional to 237,896 and 347,913

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Solution

The third proportional to 237,896 and 347,913 is: 508,808.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,896 : 347,913 = 347,913 : x
  2. Step 2: Convert to fraction form
    237,896/347,913 = 347,913/x
  3. Step 3: Cross multiply
    237,896x = 347,913 × 347,913
  4. Step 4: Simplify right side
    237,896x = 121,043,455,569
  5. Step 5: Solve for x
    x = 121,043,455,569/237,896
  6. Step 6: Final answer
    x = 508,808.28

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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.