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Finding the Third Proportional to 206,587.50 and 319,224

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Solution

The third proportional to 206,587.50 and 319,224 is: 493,272.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,587.50 : 319,224 = 319,224 : x
  2. Step 2: Convert to fraction form
    206,587.50/319,224 = 319,224/x
  3. Step 3: Cross multiply
    206,587.50x = 319,224 × 319,224
  4. Step 4: Simplify right side
    206,587.50x = 101,903,962,176
  5. Step 5: Solve for x
    x = 101,903,962,176/206,587.50
  6. Step 6: Final answer
    x = 493,272.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.