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Finding the Third Proportional to 193,417.50 and 420,462

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Solution

The third proportional to 193,417.50 and 420,462 is: 914,024.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,417.50 : 420,462 = 420,462 : x
  2. Step 2: Convert to fraction form
    193,417.50/420,462 = 420,462/x
  3. Step 3: Cross multiply
    193,417.50x = 420,462 × 420,462
  4. Step 4: Simplify right side
    193,417.50x = 176,788,293,444
  5. Step 5: Solve for x
    x = 176,788,293,444/193,417.50
  6. Step 6: Final answer
    x = 914,024.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.