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Finding the Third Proportional to 187,075.13 and 410,364.75

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Solution

The third proportional to 187,075.13 and 410,364.75 is: 900,169.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,075.13 : 410,364.75 = 410,364.75 : x
  2. Step 2: Convert to fraction form
    187,075.13/410,364.75 = 410,364.75/x
  3. Step 3: Cross multiply
    187,075.13x = 410,364.75 × 410,364.75
  4. Step 4: Simplify right side
    187,075.13x = 168,399,228,042.56
  5. Step 5: Solve for x
    x = 168,399,228,042.56/187,075.13
  6. Step 6: Final answer
    x = 900,169.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.