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Finding the Third Proportional to 131,430 and 297,957

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Solution

The third proportional to 131,430 and 297,957 is: 675,480.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,430 : 297,957 = 297,957 : x
  2. Step 2: Convert to fraction form
    131,430/297,957 = 297,957/x
  3. Step 3: Cross multiply
    131,430x = 297,957 × 297,957
  4. Step 4: Simplify right side
    131,430x = 88,778,373,849
  5. Step 5: Solve for x
    x = 88,778,373,849/131,430
  6. Step 6: Final answer
    x = 675,480.28

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.