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Finding the Third Proportional to 116,032 and 254,465

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Solution

The third proportional to 116,032 and 254,465 is: 558,056.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,032 : 254,465 = 254,465 : x
  2. Step 2: Convert to fraction form
    116,032/254,465 = 254,465/x
  3. Step 3: Cross multiply
    116,032x = 254,465 × 254,465
  4. Step 4: Simplify right side
    116,032x = 64,752,436,225
  5. Step 5: Solve for x
    x = 64,752,436,225/116,032
  6. Step 6: Final answer
    x = 558,056.71

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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.