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Finding the Third Proportional to 193,428 and 404,352

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Solution

The third proportional to 193,428 and 404,352 is: 845,278.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,428 : 404,352 = 404,352 : x
  2. Step 2: Convert to fraction form
    193,428/404,352 = 404,352/x
  3. Step 3: Cross multiply
    193,428x = 404,352 × 404,352
  4. Step 4: Simplify right side
    193,428x = 163,500,539,904
  5. Step 5: Solve for x
    x = 163,500,539,904/193,428
  6. Step 6: Final answer
    x = 845,278.55

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.