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Finding the Third Proportional to 195,656 and 297,594

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Solution

The third proportional to 195,656 and 297,594 is: 452,642.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,656 : 297,594 = 297,594 : x
  2. Step 2: Convert to fraction form
    195,656/297,594 = 297,594/x
  3. Step 3: Cross multiply
    195,656x = 297,594 × 297,594
  4. Step 4: Simplify right side
    195,656x = 88,562,188,836
  5. Step 5: Solve for x
    x = 88,562,188,836/195,656
  6. Step 6: Final answer
    x = 452,642.34

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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.