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Finding the Third Proportional to 135,928.50 and 316,029

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Solution

The third proportional to 135,928.50 and 316,029 is: 734,756.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,928.50 : 316,029 = 316,029 : x
  2. Step 2: Convert to fraction form
    135,928.50/316,029 = 316,029/x
  3. Step 3: Cross multiply
    135,928.50x = 316,029 × 316,029
  4. Step 4: Simplify right side
    135,928.50x = 99,874,328,841
  5. Step 5: Solve for x
    x = 99,874,328,841/135,928.50
  6. Step 6: Final answer
    x = 734,756.35

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.