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Finding the Third Proportional to 191,326 and 297,924

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Solution

The third proportional to 191,326 and 297,924 is: 463,913.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,326 : 297,924 = 297,924 : x
  2. Step 2: Convert to fraction form
    191,326/297,924 = 297,924/x
  3. Step 3: Cross multiply
    191,326x = 297,924 × 297,924
  4. Step 4: Simplify right side
    191,326x = 88,758,709,776
  5. Step 5: Solve for x
    x = 88,758,709,776/191,326
  6. Step 6: Final answer
    x = 463,913.48

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.