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Finding the Third Proportional to 102,678 and 224,952

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Solution

The third proportional to 102,678 and 224,952 is: 492,835.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,678 : 224,952 = 224,952 : x
  2. Step 2: Convert to fraction form
    102,678/224,952 = 224,952/x
  3. Step 3: Cross multiply
    102,678x = 224,952 × 224,952
  4. Step 4: Simplify right side
    102,678x = 50,603,402,304
  5. Step 5: Solve for x
    x = 50,603,402,304/102,678
  6. Step 6: Final answer
    x = 492,835.88

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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.