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Finding the Third Proportional to 202,957.50 and 326,118

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Solution

The third proportional to 202,957.50 and 326,118 is: 524,015.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,957.50 : 326,118 = 326,118 : x
  2. Step 2: Convert to fraction form
    202,957.50/326,118 = 326,118/x
  3. Step 3: Cross multiply
    202,957.50x = 326,118 × 326,118
  4. Step 4: Simplify right side
    202,957.50x = 106,352,949,924
  5. Step 5: Solve for x
    x = 106,352,949,924/202,957.50
  6. Step 6: Final answer
    x = 524,015.87

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.