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Finding the Third Proportional to 106,569 and 229,729.50

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Solution

The third proportional to 106,569 and 229,729.50 is: 495,225.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,569 : 229,729.50 = 229,729.50 : x
  2. Step 2: Convert to fraction form
    106,569/229,729.50 = 229,729.50/x
  3. Step 3: Cross multiply
    106,569x = 229,729.50 × 229,729.50
  4. Step 4: Simplify right side
    106,569x = 52,775,643,170.25
  5. Step 5: Solve for x
    x = 52,775,643,170.25/106,569
  6. Step 6: Final answer
    x = 495,225.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.