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Finding the Third Proportional to 191,870.44 and 293,653.69

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Solution

The third proportional to 191,870.44 and 293,653.69 is: 449,430.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,870.44 : 293,653.69 = 293,653.69 : x
  2. Step 2: Convert to fraction form
    191,870.44/293,653.69 = 293,653.69/x
  3. Step 3: Cross multiply
    191,870.44x = 293,653.69 × 293,653.69
  4. Step 4: Simplify right side
    191,870.44x = 86,232,488,182.35
  5. Step 5: Solve for x
    x = 86,232,488,182.35/191,870.44
  6. Step 6: Final answer
    x = 449,430.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.