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Finding the Third Proportional to 201,001.50 and 431,154

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Solution

The third proportional to 201,001.50 and 431,154 is: 924,837.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,001.50 : 431,154 = 431,154 : x
  2. Step 2: Convert to fraction form
    201,001.50/431,154 = 431,154/x
  3. Step 3: Cross multiply
    201,001.50x = 431,154 × 431,154
  4. Step 4: Simplify right side
    201,001.50x = 185,893,771,716
  5. Step 5: Solve for x
    x = 185,893,771,716/201,001.50
  6. Step 6: Final answer
    x = 924,837.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.