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Finding the Third Proportional to 185,835.75 and 295,368.75

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Solution

The third proportional to 185,835.75 and 295,368.75 is: 469,461.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,835.75 : 295,368.75 = 295,368.75 : x
  2. Step 2: Convert to fraction form
    185,835.75/295,368.75 = 295,368.75/x
  3. Step 3: Cross multiply
    185,835.75x = 295,368.75 × 295,368.75
  4. Step 4: Simplify right side
    185,835.75x = 87,242,698,476.56
  5. Step 5: Solve for x
    x = 87,242,698,476.56/185,835.75
  6. Step 6: Final answer
    x = 469,461.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.