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Finding the Third Proportional to 202,482 and 320,216

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Solution

The third proportional to 202,482 and 320,216 is: 506,406.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,482 : 320,216 = 320,216 : x
  2. Step 2: Convert to fraction form
    202,482/320,216 = 320,216/x
  3. Step 3: Cross multiply
    202,482x = 320,216 × 320,216
  4. Step 4: Simplify right side
    202,482x = 102,538,286,656
  5. Step 5: Solve for x
    x = 102,538,286,656/202,482
  6. Step 6: Final answer
    x = 506,406.92

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.