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Finding the Third Proportional to 137,608.50 and 279,088.50

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Solution

The third proportional to 137,608.50 and 279,088.50 is: 566,028.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,608.50 : 279,088.50 = 279,088.50 : x
  2. Step 2: Convert to fraction form
    137,608.50/279,088.50 = 279,088.50/x
  3. Step 3: Cross multiply
    137,608.50x = 279,088.50 × 279,088.50
  4. Step 4: Simplify right side
    137,608.50x = 77,890,390,832.25
  5. Step 5: Solve for x
    x = 77,890,390,832.25/137,608.50
  6. Step 6: Final answer
    x = 566,028.92

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.