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Finding the Third Proportional to 175,784 and 364,029.50

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Solution

The third proportional to 175,784 and 364,029.50 is: 753,865.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,784 : 364,029.50 = 364,029.50 : x
  2. Step 2: Convert to fraction form
    175,784/364,029.50 = 364,029.50/x
  3. Step 3: Cross multiply
    175,784x = 364,029.50 × 364,029.50
  4. Step 4: Simplify right side
    175,784x = 132,517,476,870.25
  5. Step 5: Solve for x
    x = 132,517,476,870.25/175,784
  6. Step 6: Final answer
    x = 753,865.41

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.