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Finding the Third Proportional to 177,869.25 and 385,263

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Solution

The third proportional to 177,869.25 and 385,263 is: 834,475.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,869.25 : 385,263 = 385,263 : x
  2. Step 2: Convert to fraction form
    177,869.25/385,263 = 385,263/x
  3. Step 3: Cross multiply
    177,869.25x = 385,263 × 385,263
  4. Step 4: Simplify right side
    177,869.25x = 148,427,579,169
  5. Step 5: Solve for x
    x = 148,427,579,169/177,869.25
  6. Step 6: Final answer
    x = 834,475.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.