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Finding the Third Proportional to 157,653.75 and 345,967.50

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Solution

The third proportional to 157,653.75 and 345,967.50 is: 759,217.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,653.75 : 345,967.50 = 345,967.50 : x
  2. Step 2: Convert to fraction form
    157,653.75/345,967.50 = 345,967.50/x
  3. Step 3: Cross multiply
    157,653.75x = 345,967.50 × 345,967.50
  4. Step 4: Simplify right side
    157,653.75x = 119,693,511,056.25
  5. Step 5: Solve for x
    x = 119,693,511,056.25/157,653.75
  6. Step 6: Final answer
    x = 759,217.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.