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Finding the Third Proportional to 219,702.38 and 331,300.13

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Solution

The third proportional to 219,702.38 and 331,300.13 is: 499,583.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,702.38 : 331,300.13 = 331,300.13 : x
  2. Step 2: Convert to fraction form
    219,702.38/331,300.13 = 331,300.13/x
  3. Step 3: Cross multiply
    219,702.38x = 331,300.13 × 331,300.13
  4. Step 4: Simplify right side
    219,702.38x = 109,759,772,825.02
  5. Step 5: Solve for x
    x = 109,759,772,825.02/219,702.38
  6. Step 6: Final answer
    x = 499,583.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.