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Finding the Third Proportional to 215,421.75 and 460,165.50

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Solution

The third proportional to 215,421.75 and 460,165.50 is: 982,966.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,421.75 : 460,165.50 = 460,165.50 : x
  2. Step 2: Convert to fraction form
    215,421.75/460,165.50 = 460,165.50/x
  3. Step 3: Cross multiply
    215,421.75x = 460,165.50 × 460,165.50
  4. Step 4: Simplify right side
    215,421.75x = 211,752,287,390.25
  5. Step 5: Solve for x
    x = 211,752,287,390.25/215,421.75
  6. Step 6: Final answer
    x = 982,966.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.