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Finding the Third Proportional to 193,501 and 455,314

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Solution

The third proportional to 193,501 and 455,314 is: 1,071,368.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,501 : 455,314 = 455,314 : x
  2. Step 2: Convert to fraction form
    193,501/455,314 = 455,314/x
  3. Step 3: Cross multiply
    193,501x = 455,314 × 455,314
  4. Step 4: Simplify right side
    193,501x = 207,310,838,596
  5. Step 5: Solve for x
    x = 207,310,838,596/193,501
  6. Step 6: Final answer
    x = 1,071,368.31

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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.