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Finding the Third Proportional to 174,889.13 and 362,920.50

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Solution

The third proportional to 174,889.13 and 362,920.50 is: 753,113.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,889.13 : 362,920.50 = 362,920.50 : x
  2. Step 2: Convert to fraction form
    174,889.13/362,920.50 = 362,920.50/x
  3. Step 3: Cross multiply
    174,889.13x = 362,920.50 × 362,920.50
  4. Step 4: Simplify right side
    174,889.13x = 131,711,289,320.25
  5. Step 5: Solve for x
    x = 131,711,289,320.25/174,889.13
  6. Step 6: Final answer
    x = 753,113.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.