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Finding the Third Proportional to 160,830.75 and 343,748.25

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Solution

The third proportional to 160,830.75 and 343,748.25 is: 734,703.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,830.75 : 343,748.25 = 343,748.25 : x
  2. Step 2: Convert to fraction form
    160,830.75/343,748.25 = 343,748.25/x
  3. Step 3: Cross multiply
    160,830.75x = 343,748.25 × 343,748.25
  4. Step 4: Simplify right side
    160,830.75x = 118,162,859,378.06
  5. Step 5: Solve for x
    x = 118,162,859,378.06/160,830.75
  6. Step 6: Final answer
    x = 734,703.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.