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Finding the Third Proportional to 190,400.63 and 293,857.88

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Solution

The third proportional to 190,400.63 and 293,857.88 is: 453,530.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,400.63 : 293,857.88 = 293,857.88 : x
  2. Step 2: Convert to fraction form
    190,400.63/293,857.88 = 293,857.88/x
  3. Step 3: Cross multiply
    190,400.63x = 293,857.88 × 293,857.88
  4. Step 4: Simplify right side
    190,400.63x = 86,352,450,699.52
  5. Step 5: Solve for x
    x = 86,352,450,699.52/190,400.63
  6. Step 6: Final answer
    x = 453,530.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.