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Finding the Third Proportional to 193,522 and 455,339

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Solution

The third proportional to 193,522 and 455,339 is: 1,071,369.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,522 : 455,339 = 455,339 : x
  2. Step 2: Convert to fraction form
    193,522/455,339 = 455,339/x
  3. Step 3: Cross multiply
    193,522x = 455,339 × 455,339
  4. Step 4: Simplify right side
    193,522x = 207,333,604,921
  5. Step 5: Solve for x
    x = 207,333,604,921/193,522
  6. Step 6: Final answer
    x = 1,071,369.69

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.