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Finding the Third Proportional to 210,156.75 and 288,991.13

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Solution

The third proportional to 210,156.75 and 288,991.13 is: 397,397.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,156.75 : 288,991.13 = 288,991.13 : x
  2. Step 2: Convert to fraction form
    210,156.75/288,991.13 = 288,991.13/x
  3. Step 3: Cross multiply
    210,156.75x = 288,991.13 × 288,991.13
  4. Step 4: Simplify right side
    210,156.75x = 83,515,870,328.77
  5. Step 5: Solve for x
    x = 83,515,870,328.77/210,156.75
  6. Step 6: Final answer
    x = 397,397.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.