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Finding the Third Proportional to 191,486 and 292,413

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Solution

The third proportional to 191,486 and 292,413 is: 446,535.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,486 : 292,413 = 292,413 : x
  2. Step 2: Convert to fraction form
    191,486/292,413 = 292,413/x
  3. Step 3: Cross multiply
    191,486x = 292,413 × 292,413
  4. Step 4: Simplify right side
    191,486x = 85,505,362,569
  5. Step 5: Solve for x
    x = 85,505,362,569/191,486
  6. Step 6: Final answer
    x = 446,535.84

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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.