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Finding the Third Proportional to 182,416 and 291,407

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Solution

The third proportional to 182,416 and 291,407 is: 465,518.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,416 : 291,407 = 291,407 : x
  2. Step 2: Convert to fraction form
    182,416/291,407 = 291,407/x
  3. Step 3: Cross multiply
    182,416x = 291,407 × 291,407
  4. Step 4: Simplify right side
    182,416x = 84,918,039,649
  5. Step 5: Solve for x
    x = 84,918,039,649/182,416
  6. Step 6: Final answer
    x = 465,518.59

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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.