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Finding the Third Proportional to 140,827.50 and 293,305.50

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Solution

The third proportional to 140,827.50 and 293,305.50 is: 610,875.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,827.50 : 293,305.50 = 293,305.50 : x
  2. Step 2: Convert to fraction form
    140,827.50/293,305.50 = 293,305.50/x
  3. Step 3: Cross multiply
    140,827.50x = 293,305.50 × 293,305.50
  4. Step 4: Simplify right side
    140,827.50x = 86,028,116,330.25
  5. Step 5: Solve for x
    x = 86,028,116,330.25/140,827.50
  6. Step 6: Final answer
    x = 610,875.83

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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.