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Finding the Third Proportional to 152,413 and 226,412.50

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Solution

The third proportional to 152,413 and 226,412.50 is: 336,340.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,413 : 226,412.50 = 226,412.50 : x
  2. Step 2: Convert to fraction form
    152,413/226,412.50 = 226,412.50/x
  3. Step 3: Cross multiply
    152,413x = 226,412.50 × 226,412.50
  4. Step 4: Simplify right side
    152,413x = 51,262,620,156.25
  5. Step 5: Solve for x
    x = 51,262,620,156.25/152,413
  6. Step 6: Final answer
    x = 336,340.21

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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.