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Finding the Third Proportional to 202,534 and 325,403

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Solution

The third proportional to 202,534 and 325,403 is: 522,811.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,534 : 325,403 = 325,403 : x
  2. Step 2: Convert to fraction form
    202,534/325,403 = 325,403/x
  3. Step 3: Cross multiply
    202,534x = 325,403 × 325,403
  4. Step 4: Simplify right side
    202,534x = 105,887,112,409
  5. Step 5: Solve for x
    x = 105,887,112,409/202,534
  6. Step 6: Final answer
    x = 522,811.54

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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.