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Finding the Third Proportional to 157,782.50 and 344,477

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Solution

The third proportional to 157,782.50 and 344,477 is: 752,075.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,782.50 : 344,477 = 344,477 : x
  2. Step 2: Convert to fraction form
    157,782.50/344,477 = 344,477/x
  3. Step 3: Cross multiply
    157,782.50x = 344,477 × 344,477
  4. Step 4: Simplify right side
    157,782.50x = 118,664,403,529
  5. Step 5: Solve for x
    x = 118,664,403,529/157,782.50
  6. Step 6: Final answer
    x = 752,075.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.