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Finding the Third Proportional to 144,595.50 and 216,042

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Solution

The third proportional to 144,595.50 and 216,042 is: 322,791.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,595.50 : 216,042 = 216,042 : x
  2. Step 2: Convert to fraction form
    144,595.50/216,042 = 216,042/x
  3. Step 3: Cross multiply
    144,595.50x = 216,042 × 216,042
  4. Step 4: Simplify right side
    144,595.50x = 46,674,145,764
  5. Step 5: Solve for x
    x = 46,674,145,764/144,595.50
  6. Step 6: Final answer
    x = 322,791.14

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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.