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Finding the Third Proportional to 210,012.75 and 316,733.63

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Solution

The third proportional to 210,012.75 and 316,733.63 is: 477,686.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,012.75 : 316,733.63 = 316,733.63 : x
  2. Step 2: Convert to fraction form
    210,012.75/316,733.63 = 316,733.63/x
  3. Step 3: Cross multiply
    210,012.75x = 316,733.63 × 316,733.63
  4. Step 4: Simplify right side
    210,012.75x = 100,320,189,205.64
  5. Step 5: Solve for x
    x = 100,320,189,205.64/210,012.75
  6. Step 6: Final answer
    x = 477,686.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.