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Finding the Third Proportional to 116,506 and 252,055

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Solution

The third proportional to 116,506 and 252,055 is: 545,308.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,506 : 252,055 = 252,055 : x
  2. Step 2: Convert to fraction form
    116,506/252,055 = 252,055/x
  3. Step 3: Cross multiply
    116,506x = 252,055 × 252,055
  4. Step 4: Simplify right side
    116,506x = 63,531,723,025
  5. Step 5: Solve for x
    x = 63,531,723,025/116,506
  6. Step 6: Final answer
    x = 545,308.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.