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Finding the Third Proportional to 114,926 and 252,892

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Solution

The third proportional to 114,926 and 252,892 is: 556,482.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,926 : 252,892 = 252,892 : x
  2. Step 2: Convert to fraction form
    114,926/252,892 = 252,892/x
  3. Step 3: Cross multiply
    114,926x = 252,892 × 252,892
  4. Step 4: Simplify right side
    114,926x = 63,954,363,664
  5. Step 5: Solve for x
    x = 63,954,363,664/114,926
  6. Step 6: Final answer
    x = 556,482.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.