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Finding the Third Proportional to 221,908.50 and 360,526.50

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Solution

The third proportional to 221,908.50 and 360,526.50 is: 585,734.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,908.50 : 360,526.50 = 360,526.50 : x
  2. Step 2: Convert to fraction form
    221,908.50/360,526.50 = 360,526.50/x
  3. Step 3: Cross multiply
    221,908.50x = 360,526.50 × 360,526.50
  4. Step 4: Simplify right side
    221,908.50x = 129,979,357,202.25
  5. Step 5: Solve for x
    x = 129,979,357,202.25/221,908.50
  6. Step 6: Final answer
    x = 585,734.02

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.