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Finding the Third Proportional to 144,228 and 215,145

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Solution

The third proportional to 144,228 and 215,145 is: 320,931.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,228 : 215,145 = 215,145 : x
  2. Step 2: Convert to fraction form
    144,228/215,145 = 215,145/x
  3. Step 3: Cross multiply
    144,228x = 215,145 × 215,145
  4. Step 4: Simplify right side
    144,228x = 46,287,371,025
  5. Step 5: Solve for x
    x = 46,287,371,025/144,228
  6. Step 6: Final answer
    x = 320,931.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.