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Finding the Third Proportional to 102,833 and 225,362

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Solution

The third proportional to 102,833 and 225,362 is: 493,888.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,833 : 225,362 = 225,362 : x
  2. Step 2: Convert to fraction form
    102,833/225,362 = 225,362/x
  3. Step 3: Cross multiply
    102,833x = 225,362 × 225,362
  4. Step 4: Simplify right side
    102,833x = 50,788,031,044
  5. Step 5: Solve for x
    x = 50,788,031,044/102,833
  6. Step 6: Final answer
    x = 493,888.45

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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.