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Finding the Third Proportional to 190,248.75 and 294,991.88

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Solution

The third proportional to 190,248.75 and 294,991.88 is: 457,402.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,248.75 : 294,991.88 = 294,991.88 : x
  2. Step 2: Convert to fraction form
    190,248.75/294,991.88 = 294,991.88/x
  3. Step 3: Cross multiply
    190,248.75x = 294,991.88 × 294,991.88
  4. Step 4: Simplify right side
    190,248.75x = 87,020,206,316.02
  5. Step 5: Solve for x
    x = 87,020,206,316.02/190,248.75
  6. Step 6: Final answer
    x = 457,402.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.