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Finding the Third Proportional to 147,598.50 and 207,114.75

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Solution

The third proportional to 147,598.50 and 207,114.75 is: 290,629.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,598.50 : 207,114.75 = 207,114.75 : x
  2. Step 2: Convert to fraction form
    147,598.50/207,114.75 = 207,114.75/x
  3. Step 3: Cross multiply
    147,598.50x = 207,114.75 × 207,114.75
  4. Step 4: Simplify right side
    147,598.50x = 42,896,519,667.56
  5. Step 5: Solve for x
    x = 42,896,519,667.56/147,598.50
  6. Step 6: Final answer
    x = 290,629.78

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.