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Finding the Third Proportional to 201,688.50 and 429,873

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Solution

The third proportional to 201,688.50 and 429,873 is: 916,218.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,688.50 : 429,873 = 429,873 : x
  2. Step 2: Convert to fraction form
    201,688.50/429,873 = 429,873/x
  3. Step 3: Cross multiply
    201,688.50x = 429,873 × 429,873
  4. Step 4: Simplify right side
    201,688.50x = 184,790,796,129
  5. Step 5: Solve for x
    x = 184,790,796,129/201,688.50
  6. Step 6: Final answer
    x = 916,218.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.