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Finding the Third Proportional to 224,022.38 and 354,901.50

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Solution

The third proportional to 224,022.38 and 354,901.50 is: 562,243.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,022.38 : 354,901.50 = 354,901.50 : x
  2. Step 2: Convert to fraction form
    224,022.38/354,901.50 = 354,901.50/x
  3. Step 3: Cross multiply
    224,022.38x = 354,901.50 × 354,901.50
  4. Step 4: Simplify right side
    224,022.38x = 125,955,074,702.25
  5. Step 5: Solve for x
    x = 125,955,074,702.25/224,022.38
  6. Step 6: Final answer
    x = 562,243.28

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.