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Finding the Third Proportional to 134,856 and 295,632

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Solution

The third proportional to 134,856 and 295,632 is: 648,085.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,856 : 295,632 = 295,632 : x
  2. Step 2: Convert to fraction form
    134,856/295,632 = 295,632/x
  3. Step 3: Cross multiply
    134,856x = 295,632 × 295,632
  4. Step 4: Simplify right side
    134,856x = 87,398,279,424
  5. Step 5: Solve for x
    x = 87,398,279,424/134,856
  6. Step 6: Final answer
    x = 648,085.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.