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Finding the Third Proportional to 162,913 and 235,288

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Solution

The third proportional to 162,913 and 235,288 is: 339,815.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,913 : 235,288 = 235,288 : x
  2. Step 2: Convert to fraction form
    162,913/235,288 = 235,288/x
  3. Step 3: Cross multiply
    162,913x = 235,288 × 235,288
  4. Step 4: Simplify right side
    162,913x = 55,360,442,944
  5. Step 5: Solve for x
    x = 55,360,442,944/162,913
  6. Step 6: Final answer
    x = 339,815.99

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.