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Finding the Third Proportional to 168,904 and 358,538

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Solution

The third proportional to 168,904 and 358,538 is: 761,080.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,904 : 358,538 = 358,538 : x
  2. Step 2: Convert to fraction form
    168,904/358,538 = 358,538/x
  3. Step 3: Cross multiply
    168,904x = 358,538 × 358,538
  4. Step 4: Simplify right side
    168,904x = 128,549,497,444
  5. Step 5: Solve for x
    x = 128,549,497,444/168,904
  6. Step 6: Final answer
    x = 761,080.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.