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Finding the Third Proportional to 167,353.50 and 258,412.50

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Solution

The third proportional to 167,353.50 and 258,412.50 is: 399,017.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,353.50 : 258,412.50 = 258,412.50 : x
  2. Step 2: Convert to fraction form
    167,353.50/258,412.50 = 258,412.50/x
  3. Step 3: Cross multiply
    167,353.50x = 258,412.50 × 258,412.50
  4. Step 4: Simplify right side
    167,353.50x = 66,777,020,156.25
  5. Step 5: Solve for x
    x = 66,777,020,156.25/167,353.50
  6. Step 6: Final answer
    x = 399,017.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.