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Finding the Third Proportional to 178,053.75 and 255,056.63

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Solution

The third proportional to 178,053.75 and 255,056.63 is: 365,360.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,053.75 : 255,056.63 = 255,056.63 : x
  2. Step 2: Convert to fraction form
    178,053.75/255,056.63 = 255,056.63/x
  3. Step 3: Cross multiply
    178,053.75x = 255,056.63 × 255,056.63
  4. Step 4: Simplify right side
    178,053.75x = 65,053,881,956.39
  5. Step 5: Solve for x
    x = 65,053,881,956.39/178,053.75
  6. Step 6: Final answer
    x = 365,360.92

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.