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Finding the Third Proportional to 185,901.75 and 295,457.63

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Solution

The third proportional to 185,901.75 and 295,457.63 is: 469,577.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,901.75 : 295,457.63 = 295,457.63 : x
  2. Step 2: Convert to fraction form
    185,901.75/295,457.63 = 295,457.63/x
  3. Step 3: Cross multiply
    185,901.75x = 295,457.63 × 295,457.63
  4. Step 4: Simplify right side
    185,901.75x = 87,295,208,170.64
  5. Step 5: Solve for x
    x = 87,295,208,170.64/185,901.75
  6. Step 6: Final answer
    x = 469,577.12

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