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Finding the Third Proportional to 157,851.50 and 240,717

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Solution

The third proportional to 157,851.50 and 240,717 is: 367,083.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,851.50 : 240,717 = 240,717 : x
  2. Step 2: Convert to fraction form
    157,851.50/240,717 = 240,717/x
  3. Step 3: Cross multiply
    157,851.50x = 240,717 × 240,717
  4. Step 4: Simplify right side
    157,851.50x = 57,944,674,089
  5. Step 5: Solve for x
    x = 57,944,674,089/157,851.50
  6. Step 6: Final answer
    x = 367,083.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.