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Finding the Third Proportional to 183,429 and 241,207.50

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Solution

The third proportional to 183,429 and 241,207.50 is: 317,185.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,429 : 241,207.50 = 241,207.50 : x
  2. Step 2: Convert to fraction form
    183,429/241,207.50 = 241,207.50/x
  3. Step 3: Cross multiply
    183,429x = 241,207.50 × 241,207.50
  4. Step 4: Simplify right side
    183,429x = 58,181,058,056.25
  5. Step 5: Solve for x
    x = 58,181,058,056.25/183,429
  6. Step 6: Final answer
    x = 317,185.71

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.