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Finding the Third Proportional to 229,483.50 and 322,590.75

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Solution

The third proportional to 229,483.50 and 322,590.75 is: 453,473.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,483.50 : 322,590.75 = 322,590.75 : x
  2. Step 2: Convert to fraction form
    229,483.50/322,590.75 = 322,590.75/x
  3. Step 3: Cross multiply
    229,483.50x = 322,590.75 × 322,590.75
  4. Step 4: Simplify right side
    229,483.50x = 104,064,791,985.56
  5. Step 5: Solve for x
    x = 104,064,791,985.56/229,483.50
  6. Step 6: Final answer
    x = 453,473.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.