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Finding the Third Proportional to 174,507.75 and 383,298.75

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Solution

The third proportional to 174,507.75 and 383,298.75 is: 841,899.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,507.75 : 383,298.75 = 383,298.75 : x
  2. Step 2: Convert to fraction form
    174,507.75/383,298.75 = 383,298.75/x
  3. Step 3: Cross multiply
    174,507.75x = 383,298.75 × 383,298.75
  4. Step 4: Simplify right side
    174,507.75x = 146,917,931,751.56
  5. Step 5: Solve for x
    x = 146,917,931,751.56/174,507.75
  6. Step 6: Final answer
    x = 841,899.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.