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Finding the Third Proportional to 135,526 and 297,224

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Solution

The third proportional to 135,526 and 297,224 is: 651,846.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,526 : 297,224 = 297,224 : x
  2. Step 2: Convert to fraction form
    135,526/297,224 = 297,224/x
  3. Step 3: Cross multiply
    135,526x = 297,224 × 297,224
  4. Step 4: Simplify right side
    135,526x = 88,342,106,176
  5. Step 5: Solve for x
    x = 88,342,106,176/135,526
  6. Step 6: Final answer
    x = 651,846.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.