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Finding the Third Proportional to 210,377.25 and 460,188.84

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Solution

The third proportional to 210,377.25 and 460,188.84 is: 1,006,638.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,377.25 : 460,188.84 = 460,188.84 : x
  2. Step 2: Convert to fraction form
    210,377.25/460,188.84 = 460,188.84/x
  3. Step 3: Cross multiply
    210,377.25x = 460,188.84 × 460,188.84
  4. Step 4: Simplify right side
    210,377.25x = 211,773,771,911.96
  5. Step 5: Solve for x
    x = 211,773,771,911.96/210,377.25
  6. Step 6: Final answer
    x = 1,006,638.18

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.