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Finding the Third Proportional to 145,116.56 and 318,185.72

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Solution

The third proportional to 145,116.56 and 318,185.72 is: 697,660.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,116.56 : 318,185.72 = 318,185.72 : x
  2. Step 2: Convert to fraction form
    145,116.56/318,185.72 = 318,185.72/x
  3. Step 3: Cross multiply
    145,116.56x = 318,185.72 × 318,185.72
  4. Step 4: Simplify right side
    145,116.56x = 101,242,151,616.45
  5. Step 5: Solve for x
    x = 101,242,151,616.45/145,116.56
  6. Step 6: Final answer
    x = 697,660.90

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.