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Finding the Third Proportional to 199,876 and 307,532

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Solution

The third proportional to 199,876 and 307,532 is: 473,173.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,876 : 307,532 = 307,532 : x
  2. Step 2: Convert to fraction form
    199,876/307,532 = 307,532/x
  3. Step 3: Cross multiply
    199,876x = 307,532 × 307,532
  4. Step 4: Simplify right side
    199,876x = 94,575,931,024
  5. Step 5: Solve for x
    x = 94,575,931,024/199,876
  6. Step 6: Final answer
    x = 473,173.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.