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Finding the Third Proportional to 152,960.50 and 215,018

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Solution

The third proportional to 152,960.50 and 215,018 is: 302,252.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,960.50 : 215,018 = 215,018 : x
  2. Step 2: Convert to fraction form
    152,960.50/215,018 = 215,018/x
  3. Step 3: Cross multiply
    152,960.50x = 215,018 × 215,018
  4. Step 4: Simplify right side
    152,960.50x = 46,232,740,324
  5. Step 5: Solve for x
    x = 46,232,740,324/152,960.50
  6. Step 6: Final answer
    x = 302,252.81

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.