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Finding the Third Proportional to 158,714.44 and 346,345.88

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Solution

The third proportional to 158,714.44 and 346,345.88 is: 755,794.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,714.44 : 346,345.88 = 346,345.88 : x
  2. Step 2: Convert to fraction form
    158,714.44/346,345.88 = 346,345.88/x
  3. Step 3: Cross multiply
    158,714.44x = 346,345.88 × 346,345.88
  4. Step 4: Simplify right side
    158,714.44x = 119,955,465,129.52
  5. Step 5: Solve for x
    x = 119,955,465,129.52/158,714.44
  6. Step 6: Final answer
    x = 755,794.29

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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.