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Finding the Third Proportional to 185,348.25 and 291,144.38

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Solution

The third proportional to 185,348.25 and 291,144.38 is: 457,328.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,348.25 : 291,144.38 = 291,144.38 : x
  2. Step 2: Convert to fraction form
    185,348.25/291,144.38 = 291,144.38/x
  3. Step 3: Cross multiply
    185,348.25x = 291,144.38 × 291,144.38
  4. Step 4: Simplify right side
    185,348.25x = 84,765,047,094.14
  5. Step 5: Solve for x
    x = 84,765,047,094.14/185,348.25
  6. Step 6: Final answer
    x = 457,328.55

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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.