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Finding the Third Proportional to 185,467 and 291,255

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Solution

The third proportional to 185,467 and 291,255 is: 457,383.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,467 : 291,255 = 291,255 : x
  2. Step 2: Convert to fraction form
    185,467/291,255 = 291,255/x
  3. Step 3: Cross multiply
    185,467x = 291,255 × 291,255
  4. Step 4: Simplify right side
    185,467x = 84,829,475,025
  5. Step 5: Solve for x
    x = 84,829,475,025/185,467
  6. Step 6: Final answer
    x = 457,383.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.