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Finding the Third Proportional to 305.63 and 538.13

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Solution

The third proportional to 305.63 and 538.13 is: 947.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.63 : 538.13 = 538.13 : x
  2. Step 2: Convert to fraction form
    305.63/538.13 = 538.13/x
  3. Step 3: Cross multiply
    305.63x = 538.13 × 538.13
  4. Step 4: Simplify right side
    305.63x = 289,578.52
  5. Step 5: Solve for x
    x = 289,578.52/305.63
  6. Step 6: Final answer
    x = 947.50

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.