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Finding the Third Proportional to 191,956.50 and 448,436.25

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Solution

The third proportional to 191,956.50 and 448,436.25 is: 1,047,607.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,956.50 : 448,436.25 = 448,436.25 : x
  2. Step 2: Convert to fraction form
    191,956.50/448,436.25 = 448,436.25/x
  3. Step 3: Cross multiply
    191,956.50x = 448,436.25 × 448,436.25
  4. Step 4: Simplify right side
    191,956.50x = 201,095,070,314.06
  5. Step 5: Solve for x
    x = 201,095,070,314.06/191,956.50
  6. Step 6: Final answer
    x = 1,047,607.51

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.