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Finding the Third Proportional to 199,248 and 429,982

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Solution

The third proportional to 199,248 and 429,982 is: 927,911.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,248 : 429,982 = 429,982 : x
  2. Step 2: Convert to fraction form
    199,248/429,982 = 429,982/x
  3. Step 3: Cross multiply
    199,248x = 429,982 × 429,982
  4. Step 4: Simplify right side
    199,248x = 184,884,520,324
  5. Step 5: Solve for x
    x = 184,884,520,324/199,248
  6. Step 6: Final answer
    x = 927,911.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.