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Finding the Third Proportional to 235,035 and 353,072.25

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Solution

The third proportional to 235,035 and 353,072.25 is: 530,389.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,035 : 353,072.25 = 353,072.25 : x
  2. Step 2: Convert to fraction form
    235,035/353,072.25 = 353,072.25/x
  3. Step 3: Cross multiply
    235,035x = 353,072.25 × 353,072.25
  4. Step 4: Simplify right side
    235,035x = 124,660,013,720.06
  5. Step 5: Solve for x
    x = 124,660,013,720.06/235,035
  6. Step 6: Final answer
    x = 530,389.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.