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Finding the Third Proportional to 193,516 and 455,324

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Solution

The third proportional to 193,516 and 455,324 is: 1,071,332.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,516 : 455,324 = 455,324 : x
  2. Step 2: Convert to fraction form
    193,516/455,324 = 455,324/x
  3. Step 3: Cross multiply
    193,516x = 455,324 × 455,324
  4. Step 4: Simplify right side
    193,516x = 207,319,944,976
  5. Step 5: Solve for x
    x = 207,319,944,976/193,516
  6. Step 6: Final answer
    x = 1,071,332.32

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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.