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Finding the Third Proportional to 201,577.50 and 314,631

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Solution

The third proportional to 201,577.50 and 314,631 is: 491,089.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,577.50 : 314,631 = 314,631 : x
  2. Step 2: Convert to fraction form
    201,577.50/314,631 = 314,631/x
  3. Step 3: Cross multiply
    201,577.50x = 314,631 × 314,631
  4. Step 4: Simplify right side
    201,577.50x = 98,992,666,161
  5. Step 5: Solve for x
    x = 98,992,666,161/201,577.50
  6. Step 6: Final answer
    x = 491,089.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.