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Finding the Third Proportional to 182,416.50 and 291,405.50

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Solution

The third proportional to 182,416.50 and 291,405.50 is: 465,512.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,416.50 : 291,405.50 = 291,405.50 : x
  2. Step 2: Convert to fraction form
    182,416.50/291,405.50 = 291,405.50/x
  3. Step 3: Cross multiply
    182,416.50x = 291,405.50 × 291,405.50
  4. Step 4: Simplify right side
    182,416.50x = 84,917,165,430.25
  5. Step 5: Solve for x
    x = 84,917,165,430.25/182,416.50
  6. Step 6: Final answer
    x = 465,512.52

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.