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Finding the Third Proportional to 114,160 and 182,310

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Solution

The third proportional to 114,160 and 182,310 is: 291,143.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,160 : 182,310 = 182,310 : x
  2. Step 2: Convert to fraction form
    114,160/182,310 = 182,310/x
  3. Step 3: Cross multiply
    114,160x = 182,310 × 182,310
  4. Step 4: Simplify right side
    114,160x = 33,236,936,100
  5. Step 5: Solve for x
    x = 33,236,936,100/114,160
  6. Step 6: Final answer
    x = 291,143.45

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.