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Finding the Third Proportional to 245,875.50 and 385,944.75

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Solution

The third proportional to 245,875.50 and 385,944.75 is: 605,808.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,875.50 : 385,944.75 = 385,944.75 : x
  2. Step 2: Convert to fraction form
    245,875.50/385,944.75 = 385,944.75/x
  3. Step 3: Cross multiply
    245,875.50x = 385,944.75 × 385,944.75
  4. Step 4: Simplify right side
    245,875.50x = 148,953,350,052.56
  5. Step 5: Solve for x
    x = 148,953,350,052.56/245,875.50
  6. Step 6: Final answer
    x = 605,808.02

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.