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Finding the Third Proportional to 108,013.50 and 252,343.50

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Solution

The third proportional to 108,013.50 and 252,343.50 is: 589,530.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,013.50 : 252,343.50 = 252,343.50 : x
  2. Step 2: Convert to fraction form
    108,013.50/252,343.50 = 252,343.50/x
  3. Step 3: Cross multiply
    108,013.50x = 252,343.50 × 252,343.50
  4. Step 4: Simplify right side
    108,013.50x = 63,677,241,992.25
  5. Step 5: Solve for x
    x = 63,677,241,992.25/108,013.50
  6. Step 6: Final answer
    x = 589,530.40

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.