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Finding the Third Proportional to 154,088.44 and 312,414.19

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Solution

The third proportional to 154,088.44 and 312,414.19 is: 633,419.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,088.44 : 312,414.19 = 312,414.19 : x
  2. Step 2: Convert to fraction form
    154,088.44/312,414.19 = 312,414.19/x
  3. Step 3: Cross multiply
    154,088.44x = 312,414.19 × 312,414.19
  4. Step 4: Simplify right side
    154,088.44x = 97,602,624,551.29
  5. Step 5: Solve for x
    x = 97,602,624,551.29/154,088.44
  6. Step 6: Final answer
    x = 633,419.52

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.