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Finding the Third Proportional to 147,725 and 324,171

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Solution

The third proportional to 147,725 and 324,171 is: 711,368.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,725 : 324,171 = 324,171 : x
  2. Step 2: Convert to fraction form
    147,725/324,171 = 324,171/x
  3. Step 3: Cross multiply
    147,725x = 324,171 × 324,171
  4. Step 4: Simplify right side
    147,725x = 105,086,837,241
  5. Step 5: Solve for x
    x = 105,086,837,241/147,725
  6. Step 6: Final answer
    x = 711,368.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.