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Finding the Third Proportional to 236,534 and 347,871

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Solution

The third proportional to 236,534 and 347,871 is: 511,614.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,534 : 347,871 = 347,871 : x
  2. Step 2: Convert to fraction form
    236,534/347,871 = 347,871/x
  3. Step 3: Cross multiply
    236,534x = 347,871 × 347,871
  4. Step 4: Simplify right side
    236,534x = 121,014,232,641
  5. Step 5: Solve for x
    x = 121,014,232,641/236,534
  6. Step 6: Final answer
    x = 511,614.54

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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.