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Finding the Third Proportional to 212,533.50 and 329,026.50

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Solution

The third proportional to 212,533.50 and 329,026.50 is: 509,371.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,533.50 : 329,026.50 = 329,026.50 : x
  2. Step 2: Convert to fraction form
    212,533.50/329,026.50 = 329,026.50/x
  3. Step 3: Cross multiply
    212,533.50x = 329,026.50 × 329,026.50
  4. Step 4: Simplify right side
    212,533.50x = 108,258,437,702.25
  5. Step 5: Solve for x
    x = 108,258,437,702.25/212,533.50
  6. Step 6: Final answer
    x = 509,371.17

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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.