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Finding the Third Proportional to 158,250 and 211,396.50

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Solution

The third proportional to 158,250 and 211,396.50 is: 282,391.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,250 : 211,396.50 = 211,396.50 : x
  2. Step 2: Convert to fraction form
    158,250/211,396.50 = 211,396.50/x
  3. Step 3: Cross multiply
    158,250x = 211,396.50 × 211,396.50
  4. Step 4: Simplify right side
    158,250x = 44,688,480,212.25
  5. Step 5: Solve for x
    x = 44,688,480,212.25/158,250
  6. Step 6: Final answer
    x = 282,391.66

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.