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Finding the Third Proportional to 232,746.75 and 362,912.63

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Solution

The third proportional to 232,746.75 and 362,912.63 is: 565,875.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,746.75 : 362,912.63 = 362,912.63 : x
  2. Step 2: Convert to fraction form
    232,746.75/362,912.63 = 362,912.63/x
  3. Step 3: Cross multiply
    232,746.75x = 362,912.63 × 362,912.63
  4. Step 4: Simplify right side
    232,746.75x = 131,705,573,384.39
  5. Step 5: Solve for x
    x = 131,705,573,384.39/232,746.75
  6. Step 6: Final answer
    x = 565,875.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.