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Finding the Third Proportional to 107,466 and 233,964

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Solution

The third proportional to 107,466 and 233,964 is: 509,362.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,466 : 233,964 = 233,964 : x
  2. Step 2: Convert to fraction form
    107,466/233,964 = 233,964/x
  3. Step 3: Cross multiply
    107,466x = 233,964 × 233,964
  4. Step 4: Simplify right side
    107,466x = 54,739,153,296
  5. Step 5: Solve for x
    x = 54,739,153,296/107,466
  6. Step 6: Final answer
    x = 509,362.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.