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Finding the Third Proportional to 135,324 and 293,701.50

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Solution

The third proportional to 135,324 and 293,701.50 is: 637,437.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,324 : 293,701.50 = 293,701.50 : x
  2. Step 2: Convert to fraction form
    135,324/293,701.50 = 293,701.50/x
  3. Step 3: Cross multiply
    135,324x = 293,701.50 × 293,701.50
  4. Step 4: Simplify right side
    135,324x = 86,260,571,102.25
  5. Step 5: Solve for x
    x = 86,260,571,102.25/135,324
  6. Step 6: Final answer
    x = 637,437.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.