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Finding the Third Proportional to 102,435 and 223,550

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Solution

The third proportional to 102,435 and 223,550 is: 487,866.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,435 : 223,550 = 223,550 : x
  2. Step 2: Convert to fraction form
    102,435/223,550 = 223,550/x
  3. Step 3: Cross multiply
    102,435x = 223,550 × 223,550
  4. Step 4: Simplify right side
    102,435x = 49,974,602,500
  5. Step 5: Solve for x
    x = 49,974,602,500/102,435
  6. Step 6: Final answer
    x = 487,866.48

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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.