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Finding the Third Proportional to 145,127.63 and 219,880.88

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Solution

The third proportional to 145,127.63 and 219,880.88 is: 333,138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,127.63 : 219,880.88 = 219,880.88 : x
  2. Step 2: Convert to fraction form
    145,127.63/219,880.88 = 219,880.88/x
  3. Step 3: Cross multiply
    145,127.63x = 219,880.88 × 219,880.88
  4. Step 4: Simplify right side
    145,127.63x = 48,347,599,190.77
  5. Step 5: Solve for x
    x = 48,347,599,190.77/145,127.63
  6. Step 6: Final answer
    x = 333,138.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.