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Finding the Third Proportional to 159,117.75 and 334,594.13

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Solution

The third proportional to 159,117.75 and 334,594.13 is: 703,587.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,117.75 : 334,594.13 = 334,594.13 : x
  2. Step 2: Convert to fraction form
    159,117.75/334,594.13 = 334,594.13/x
  3. Step 3: Cross multiply
    159,117.75x = 334,594.13 × 334,594.13
  4. Step 4: Simplify right side
    159,117.75x = 111,953,228,484.52
  5. Step 5: Solve for x
    x = 111,953,228,484.52/159,117.75
  6. Step 6: Final answer
    x = 703,587.30

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.