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Finding the Third Proportional to 191,129.63 and 289,671.19

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Solution

The third proportional to 191,129.63 and 289,671.19 is: 439,018.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,129.63 : 289,671.19 = 289,671.19 : x
  2. Step 2: Convert to fraction form
    191,129.63/289,671.19 = 289,671.19/x
  3. Step 3: Cross multiply
    191,129.63x = 289,671.19 × 289,671.19
  4. Step 4: Simplify right side
    191,129.63x = 83,909,396,867.66
  5. Step 5: Solve for x
    x = 83,909,396,867.66/191,129.63
  6. Step 6: Final answer
    x = 439,018.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.