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Finding the Third Proportional to 134,514 and 295,146

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Solution

The third proportional to 134,514 and 295,146 is: 647,599.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,514 : 295,146 = 295,146 : x
  2. Step 2: Convert to fraction form
    134,514/295,146 = 295,146/x
  3. Step 3: Cross multiply
    134,514x = 295,146 × 295,146
  4. Step 4: Simplify right side
    134,514x = 87,111,161,316
  5. Step 5: Solve for x
    x = 87,111,161,316/134,514
  6. Step 6: Final answer
    x = 647,599.22

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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.