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Finding the Third Proportional to 185,829 and 295,317

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Solution

The third proportional to 185,829 and 295,317 is: 469,313.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,829 : 295,317 = 295,317 : x
  2. Step 2: Convert to fraction form
    185,829/295,317 = 295,317/x
  3. Step 3: Cross multiply
    185,829x = 295,317 × 295,317
  4. Step 4: Simplify right side
    185,829x = 87,212,130,489
  5. Step 5: Solve for x
    x = 87,212,130,489/185,829
  6. Step 6: Final answer
    x = 469,313.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.