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Finding the Third Proportional to 135,454 and 295,892

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Solution

The third proportional to 135,454 and 295,892 is: 646,360.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,454 : 295,892 = 295,892 : x
  2. Step 2: Convert to fraction form
    135,454/295,892 = 295,892/x
  3. Step 3: Cross multiply
    135,454x = 295,892 × 295,892
  4. Step 4: Simplify right side
    135,454x = 87,552,075,664
  5. Step 5: Solve for x
    x = 87,552,075,664/135,454
  6. Step 6: Final answer
    x = 646,360.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.