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Finding the Third Proportional to 186,513 and 399,202.50

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Solution

The third proportional to 186,513 and 399,202.50 is: 854,431.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,513 : 399,202.50 = 399,202.50 : x
  2. Step 2: Convert to fraction form
    186,513/399,202.50 = 399,202.50/x
  3. Step 3: Cross multiply
    186,513x = 399,202.50 × 399,202.50
  4. Step 4: Simplify right side
    186,513x = 159,362,636,006.25
  5. Step 5: Solve for x
    x = 159,362,636,006.25/186,513
  6. Step 6: Final answer
    x = 854,431.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.