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Finding the Third Proportional to 199,541 and 291,531

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Solution

The third proportional to 199,541 and 291,531 is: 425,929.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,541 : 291,531 = 291,531 : x
  2. Step 2: Convert to fraction form
    199,541/291,531 = 291,531/x
  3. Step 3: Cross multiply
    199,541x = 291,531 × 291,531
  4. Step 4: Simplify right side
    199,541x = 84,990,323,961
  5. Step 5: Solve for x
    x = 84,990,323,961/199,541
  6. Step 6: Final answer
    x = 425,929.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.