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Finding the Third Proportional to 185,762.06 and 295,217.06

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Solution

The third proportional to 185,762.06 and 295,217.06 is: 469,165.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,762.06 : 295,217.06 = 295,217.06 : x
  2. Step 2: Convert to fraction form
    185,762.06/295,217.06 = 295,217.06/x
  3. Step 3: Cross multiply
    185,762.06x = 295,217.06 × 295,217.06
  4. Step 4: Simplify right side
    185,762.06x = 87,153,113,991.13
  5. Step 5: Solve for x
    x = 87,153,113,991.13/185,762.06
  6. Step 6: Final answer
    x = 469,165.30

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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.