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Finding the Third Proportional to 210.94 and 314.72

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Solution

The third proportional to 210.94 and 314.72 is: 469.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.94 : 314.72 = 314.72 : x
  2. Step 2: Convert to fraction form
    210.94/314.72 = 314.72/x
  3. Step 3: Cross multiply
    210.94x = 314.72 × 314.72
  4. Step 4: Simplify right side
    210.94x = 99,047.89
  5. Step 5: Solve for x
    x = 99,047.89/210.94
  6. Step 6: Final answer
    x = 469.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.