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Finding the Third Proportional to 202,468 and 429,851

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Solution

The third proportional to 202,468 and 429,851 is: 912,597.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,468 : 429,851 = 429,851 : x
  2. Step 2: Convert to fraction form
    202,468/429,851 = 429,851/x
  3. Step 3: Cross multiply
    202,468x = 429,851 × 429,851
  4. Step 4: Simplify right side
    202,468x = 184,771,882,201
  5. Step 5: Solve for x
    x = 184,771,882,201/202,468
  6. Step 6: Final answer
    x = 912,597.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.