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Finding the Third Proportional to 202,346 and 291,468

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Solution

The third proportional to 202,346 and 291,468 is: 419,843.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,346 : 291,468 = 291,468 : x
  2. Step 2: Convert to fraction form
    202,346/291,468 = 291,468/x
  3. Step 3: Cross multiply
    202,346x = 291,468 × 291,468
  4. Step 4: Simplify right side
    202,346x = 84,953,595,024
  5. Step 5: Solve for x
    x = 84,953,595,024/202,346
  6. Step 6: Final answer
    x = 419,843.21

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.