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Finding the Third Proportional to 74,254 and 155,804

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Solution

The third proportional to 74,254 and 155,804 is: 326,916.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,254 : 155,804 = 155,804 : x
  2. Step 2: Convert to fraction form
    74,254/155,804 = 155,804/x
  3. Step 3: Cross multiply
    74,254x = 155,804 × 155,804
  4. Step 4: Simplify right side
    74,254x = 24,274,886,416
  5. Step 5: Solve for x
    x = 24,274,886,416/74,254
  6. Step 6: Final answer
    x = 326,916.89

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.