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Finding the Third Proportional to 202,693.50 and 469,248

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Solution

The third proportional to 202,693.50 and 469,248 is: 1,086,338.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,693.50 : 469,248 = 469,248 : x
  2. Step 2: Convert to fraction form
    202,693.50/469,248 = 469,248/x
  3. Step 3: Cross multiply
    202,693.50x = 469,248 × 469,248
  4. Step 4: Simplify right side
    202,693.50x = 220,193,685,504
  5. Step 5: Solve for x
    x = 220,193,685,504/202,693.50
  6. Step 6: Final answer
    x = 1,086,338.17

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.