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Finding the Third Proportional to 202,403 and 302,484

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Solution

The third proportional to 202,403 and 302,484 is: 452,051.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,403 : 302,484 = 302,484 : x
  2. Step 2: Convert to fraction form
    202,403/302,484 = 302,484/x
  3. Step 3: Cross multiply
    202,403x = 302,484 × 302,484
  4. Step 4: Simplify right side
    202,403x = 91,496,570,256
  5. Step 5: Solve for x
    x = 91,496,570,256/202,403
  6. Step 6: Final answer
    x = 452,051.45

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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.