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Finding the Third Proportional to 152,413 and 226,411

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Solution

The third proportional to 152,413 and 226,411 is: 336,335.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,413 : 226,411 = 226,411 : x
  2. Step 2: Convert to fraction form
    152,413/226,411 = 226,411/x
  3. Step 3: Cross multiply
    152,413x = 226,411 × 226,411
  4. Step 4: Simplify right side
    152,413x = 51,261,940,921
  5. Step 5: Solve for x
    x = 51,261,940,921/152,413
  6. Step 6: Final answer
    x = 336,335.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.