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Finding the Third Proportional to 134,468 and 295,178

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Solution

The third proportional to 134,468 and 295,178 is: 647,961.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,468 : 295,178 = 295,178 : x
  2. Step 2: Convert to fraction form
    134,468/295,178 = 295,178/x
  3. Step 3: Cross multiply
    134,468x = 295,178 × 295,178
  4. Step 4: Simplify right side
    134,468x = 87,130,051,684
  5. Step 5: Solve for x
    x = 87,130,051,684/134,468
  6. Step 6: Final answer
    x = 647,961.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.