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Finding the Third Proportional to 214,461 and 282,015

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Solution

The third proportional to 214,461 and 282,015 is: 370,848.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,461 : 282,015 = 282,015 : x
  2. Step 2: Convert to fraction form
    214,461/282,015 = 282,015/x
  3. Step 3: Cross multiply
    214,461x = 282,015 × 282,015
  4. Step 4: Simplify right side
    214,461x = 79,532,460,225
  5. Step 5: Solve for x
    x = 79,532,460,225/214,461
  6. Step 6: Final answer
    x = 370,848.13

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.