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Finding the Third Proportional to 191,263 and 295,123

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Solution

The third proportional to 191,263 and 295,123 is: 455,381.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,263 : 295,123 = 295,123 : x
  2. Step 2: Convert to fraction form
    191,263/295,123 = 295,123/x
  3. Step 3: Cross multiply
    191,263x = 295,123 × 295,123
  4. Step 4: Simplify right side
    191,263x = 87,097,585,129
  5. Step 5: Solve for x
    x = 87,097,585,129/191,263
  6. Step 6: Final answer
    x = 455,381.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.