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Finding the Third Proportional to 186,856.50 and 438,675.75

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Solution

The third proportional to 186,856.50 and 438,675.75 is: 1,029,862.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,856.50 : 438,675.75 = 438,675.75 : x
  2. Step 2: Convert to fraction form
    186,856.50/438,675.75 = 438,675.75/x
  3. Step 3: Cross multiply
    186,856.50x = 438,675.75 × 438,675.75
  4. Step 4: Simplify right side
    186,856.50x = 192,436,413,638.06
  5. Step 5: Solve for x
    x = 192,436,413,638.06/186,856.50
  6. Step 6: Final answer
    x = 1,029,862.03

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.