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Finding the Third Proportional to 145,549.50 and 318,165

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Solution

The third proportional to 145,549.50 and 318,165 is: 695,495.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,549.50 : 318,165 = 318,165 : x
  2. Step 2: Convert to fraction form
    145,549.50/318,165 = 318,165/x
  3. Step 3: Cross multiply
    145,549.50x = 318,165 × 318,165
  4. Step 4: Simplify right side
    145,549.50x = 101,228,967,225
  5. Step 5: Solve for x
    x = 101,228,967,225/145,549.50
  6. Step 6: Final answer
    x = 695,495.12

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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.