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Finding the Third Proportional to 224,859 and 345,970.50

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Solution

The third proportional to 224,859 and 345,970.50 is: 532,313.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,859 : 345,970.50 = 345,970.50 : x
  2. Step 2: Convert to fraction form
    224,859/345,970.50 = 345,970.50/x
  3. Step 3: Cross multiply
    224,859x = 345,970.50 × 345,970.50
  4. Step 4: Simplify right side
    224,859x = 119,695,586,870.25
  5. Step 5: Solve for x
    x = 119,695,586,870.25/224,859
  6. Step 6: Final answer
    x = 532,313.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.