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Finding the Third Proportional to 144,878.63 and 221,623.88

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Solution

The third proportional to 144,878.63 and 221,623.88 is: 339,022.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,878.63 : 221,623.88 = 221,623.88 : x
  2. Step 2: Convert to fraction form
    144,878.63/221,623.88 = 221,623.88/x
  3. Step 3: Cross multiply
    144,878.63x = 221,623.88 × 221,623.88
  4. Step 4: Simplify right side
    144,878.63x = 49,117,141,970.02
  5. Step 5: Solve for x
    x = 49,117,141,970.02/144,878.63
  6. Step 6: Final answer
    x = 339,022.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.