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Finding the Third Proportional to 214,516 and 282,090

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Solution

The third proportional to 214,516 and 282,090 is: 370,950.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,516 : 282,090 = 282,090 : x
  2. Step 2: Convert to fraction form
    214,516/282,090 = 282,090/x
  3. Step 3: Cross multiply
    214,516x = 282,090 × 282,090
  4. Step 4: Simplify right side
    214,516x = 79,574,768,100
  5. Step 5: Solve for x
    x = 79,574,768,100/214,516
  6. Step 6: Final answer
    x = 370,950.27

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.