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Finding the Third Proportional to 140,962 and 293,587.50

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Solution

The third proportional to 140,962 and 293,587.50 is: 611,467.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,962 : 293,587.50 = 293,587.50 : x
  2. Step 2: Convert to fraction form
    140,962/293,587.50 = 293,587.50/x
  3. Step 3: Cross multiply
    140,962x = 293,587.50 × 293,587.50
  4. Step 4: Simplify right side
    140,962x = 86,193,620,156.25
  5. Step 5: Solve for x
    x = 86,193,620,156.25/140,962
  6. Step 6: Final answer
    x = 611,467.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.