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Finding the Third Proportional to 215,827.50 and 335,124

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Solution

The third proportional to 215,827.50 and 335,124 is: 520,360.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,827.50 : 335,124 = 335,124 : x
  2. Step 2: Convert to fraction form
    215,827.50/335,124 = 335,124/x
  3. Step 3: Cross multiply
    215,827.50x = 335,124 × 335,124
  4. Step 4: Simplify right side
    215,827.50x = 112,308,095,376
  5. Step 5: Solve for x
    x = 112,308,095,376/215,827.50
  6. Step 6: Final answer
    x = 520,360.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.