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Finding the Third Proportional to 152,998.88 and 252,841.50

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Solution

The third proportional to 152,998.88 and 252,841.50 is: 417,838.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,998.88 : 252,841.50 = 252,841.50 : x
  2. Step 2: Convert to fraction form
    152,998.88/252,841.50 = 252,841.50/x
  3. Step 3: Cross multiply
    152,998.88x = 252,841.50 × 252,841.50
  4. Step 4: Simplify right side
    152,998.88x = 63,928,824,122.25
  5. Step 5: Solve for x
    x = 63,928,824,122.25/152,998.88
  6. Step 6: Final answer
    x = 417,838.52

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.