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Finding the Third Proportional to 228,051 and 357,742

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Solution

The third proportional to 228,051 and 357,742 is: 561,187.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,051 : 357,742 = 357,742 : x
  2. Step 2: Convert to fraction form
    228,051/357,742 = 357,742/x
  3. Step 3: Cross multiply
    228,051x = 357,742 × 357,742
  4. Step 4: Simplify right side
    228,051x = 127,979,338,564
  5. Step 5: Solve for x
    x = 127,979,338,564/228,051
  6. Step 6: Final answer
    x = 561,187.36

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.