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Finding the Third Proportional to 202,416 and 302,526

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Solution

The third proportional to 202,416 and 302,526 is: 452,147.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,416 : 302,526 = 302,526 : x
  2. Step 2: Convert to fraction form
    202,416/302,526 = 302,526/x
  3. Step 3: Cross multiply
    202,416x = 302,526 × 302,526
  4. Step 4: Simplify right side
    202,416x = 91,521,980,676
  5. Step 5: Solve for x
    x = 91,521,980,676/202,416
  6. Step 6: Final answer
    x = 452,147.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.