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Finding the Third Proportional to 209,523 and 324,362.25

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Solution

The third proportional to 209,523 and 324,362.25 is: 502,144.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,523 : 324,362.25 = 324,362.25 : x
  2. Step 2: Convert to fraction form
    209,523/324,362.25 = 324,362.25/x
  3. Step 3: Cross multiply
    209,523x = 324,362.25 × 324,362.25
  4. Step 4: Simplify right side
    209,523x = 105,210,869,225.06
  5. Step 5: Solve for x
    x = 105,210,869,225.06/209,523
  6. Step 6: Final answer
    x = 502,144.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.