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Finding the Third Proportional to 102,345 and 220,242

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Solution

The third proportional to 102,345 and 220,242 is: 473,951.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,345 : 220,242 = 220,242 : x
  2. Step 2: Convert to fraction form
    102,345/220,242 = 220,242/x
  3. Step 3: Cross multiply
    102,345x = 220,242 × 220,242
  4. Step 4: Simplify right side
    102,345x = 48,506,538,564
  5. Step 5: Solve for x
    x = 48,506,538,564/102,345
  6. Step 6: Final answer
    x = 473,951.23

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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.