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Finding the Third Proportional to 149,053.50 and 221,553

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Solution

The third proportional to 149,053.50 and 221,553 is: 329,316.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,053.50 : 221,553 = 221,553 : x
  2. Step 2: Convert to fraction form
    149,053.50/221,553 = 221,553/x
  3. Step 3: Cross multiply
    149,053.50x = 221,553 × 221,553
  4. Step 4: Simplify right side
    149,053.50x = 49,085,731,809
  5. Step 5: Solve for x
    x = 49,085,731,809/149,053.50
  6. Step 6: Final answer
    x = 329,316.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.