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Finding the Third Proportional to 74,601 and 185,206.50

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Solution

The third proportional to 74,601 and 185,206.50 is: 459,798.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,601 : 185,206.50 = 185,206.50 : x
  2. Step 2: Convert to fraction form
    74,601/185,206.50 = 185,206.50/x
  3. Step 3: Cross multiply
    74,601x = 185,206.50 × 185,206.50
  4. Step 4: Simplify right side
    74,601x = 34,301,447,642.25
  5. Step 5: Solve for x
    x = 34,301,447,642.25/74,601
  6. Step 6: Final answer
    x = 459,798.76

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.