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Finding the Third Proportional to 144,877.50 and 221,623

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Solution

The third proportional to 144,877.50 and 221,623 is: 339,022.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,877.50 : 221,623 = 221,623 : x
  2. Step 2: Convert to fraction form
    144,877.50/221,623 = 221,623/x
  3. Step 3: Cross multiply
    144,877.50x = 221,623 × 221,623
  4. Step 4: Simplify right side
    144,877.50x = 49,116,754,129
  5. Step 5: Solve for x
    x = 49,116,754,129/144,877.50
  6. Step 6: Final answer
    x = 339,022.65

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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.