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Finding the Third Proportional to 191,488 and 292,416

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Solution

The third proportional to 191,488 and 292,416 is: 446,540.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,488 : 292,416 = 292,416 : x
  2. Step 2: Convert to fraction form
    191,488/292,416 = 292,416/x
  3. Step 3: Cross multiply
    191,488x = 292,416 × 292,416
  4. Step 4: Simplify right side
    191,488x = 85,507,117,056
  5. Step 5: Solve for x
    x = 85,507,117,056/191,488
  6. Step 6: Final answer
    x = 446,540.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.