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Finding the Third Proportional to 200,255.63 and 437,437.13

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Solution

The third proportional to 200,255.63 and 437,437.13 is: 955,534.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,255.63 : 437,437.13 = 437,437.13 : x
  2. Step 2: Convert to fraction form
    200,255.63/437,437.13 = 437,437.13/x
  3. Step 3: Cross multiply
    200,255.63x = 437,437.13 × 437,437.13
  4. Step 4: Simplify right side
    200,255.63x = 191,351,238,328.27
  5. Step 5: Solve for x
    x = 191,351,238,328.27/200,255.63
  6. Step 6: Final answer
    x = 955,534.90

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.