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Finding the Third Proportional to 106,569 and 233,442

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Solution

The third proportional to 106,569 and 233,442 is: 511,360.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,569 : 233,442 = 233,442 : x
  2. Step 2: Convert to fraction form
    106,569/233,442 = 233,442/x
  3. Step 3: Cross multiply
    106,569x = 233,442 × 233,442
  4. Step 4: Simplify right side
    106,569x = 54,495,167,364
  5. Step 5: Solve for x
    x = 54,495,167,364/106,569
  6. Step 6: Final answer
    x = 511,360.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.