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Finding the Third Proportional to 171,801.50 and 348,436

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Solution

The third proportional to 171,801.50 and 348,436 is: 706,673.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,801.50 : 348,436 = 348,436 : x
  2. Step 2: Convert to fraction form
    171,801.50/348,436 = 348,436/x
  3. Step 3: Cross multiply
    171,801.50x = 348,436 × 348,436
  4. Step 4: Simplify right side
    171,801.50x = 121,407,646,096
  5. Step 5: Solve for x
    x = 121,407,646,096/171,801.50
  6. Step 6: Final answer
    x = 706,673.96

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.