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Finding the Third Proportional to 109,666 and 235,964

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Solution

The third proportional to 109,666 and 235,964 is: 507,714.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,666 : 235,964 = 235,964 : x
  2. Step 2: Convert to fraction form
    109,666/235,964 = 235,964/x
  3. Step 3: Cross multiply
    109,666x = 235,964 × 235,964
  4. Step 4: Simplify right side
    109,666x = 55,679,009,296
  5. Step 5: Solve for x
    x = 55,679,009,296/109,666
  6. Step 6: Final answer
    x = 507,714.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.