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Finding the Third Proportional to 219,051 and 329,548.50

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Solution

The third proportional to 219,051 and 329,548.50 is: 495,785.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,051 : 329,548.50 = 329,548.50 : x
  2. Step 2: Convert to fraction form
    219,051/329,548.50 = 329,548.50/x
  3. Step 3: Cross multiply
    219,051x = 329,548.50 × 329,548.50
  4. Step 4: Simplify right side
    219,051x = 108,602,213,852.25
  5. Step 5: Solve for x
    x = 108,602,213,852.25/219,051
  6. Step 6: Final answer
    x = 495,785.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.