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Finding the Third Proportional to 116,465 and 252,706

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Solution

The third proportional to 116,465 and 252,706 is: 548,322.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,465 : 252,706 = 252,706 : x
  2. Step 2: Convert to fraction form
    116,465/252,706 = 252,706/x
  3. Step 3: Cross multiply
    116,465x = 252,706 × 252,706
  4. Step 4: Simplify right side
    116,465x = 63,860,322,436
  5. Step 5: Solve for x
    x = 63,860,322,436/116,465
  6. Step 6: Final answer
    x = 548,322.01

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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.