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Finding the Third Proportional to 252,301.50 and 298,381.50

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Solution

The third proportional to 252,301.50 and 298,381.50 is: 352,877.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,301.50 : 298,381.50 = 298,381.50 : x
  2. Step 2: Convert to fraction form
    252,301.50/298,381.50 = 298,381.50/x
  3. Step 3: Cross multiply
    252,301.50x = 298,381.50 × 298,381.50
  4. Step 4: Simplify right side
    252,301.50x = 89,031,519,542.25
  5. Step 5: Solve for x
    x = 89,031,519,542.25/252,301.50
  6. Step 6: Final answer
    x = 352,877.49

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.