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Finding the Third Proportional to 235,027 and 358,049

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Solution

The third proportional to 235,027 and 358,049 is: 545,465.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,027 : 358,049 = 358,049 : x
  2. Step 2: Convert to fraction form
    235,027/358,049 = 358,049/x
  3. Step 3: Cross multiply
    235,027x = 358,049 × 358,049
  4. Step 4: Simplify right side
    235,027x = 128,199,086,401
  5. Step 5: Solve for x
    x = 128,199,086,401/235,027
  6. Step 6: Final answer
    x = 545,465.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.