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Finding the Third Proportional to 134,445 and 293,514

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Solution

The third proportional to 134,445 and 293,514 is: 640,785.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,445 : 293,514 = 293,514 : x
  2. Step 2: Convert to fraction form
    134,445/293,514 = 293,514/x
  3. Step 3: Cross multiply
    134,445x = 293,514 × 293,514
  4. Step 4: Simplify right side
    134,445x = 86,150,468,196
  5. Step 5: Solve for x
    x = 86,150,468,196/134,445
  6. Step 6: Final answer
    x = 640,785.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.