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Finding the Third Proportional to 157,669.88 and 344,682

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Solution

The third proportional to 157,669.88 and 344,682 is: 753,509.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,669.88 : 344,682 = 344,682 : x
  2. Step 2: Convert to fraction form
    157,669.88/344,682 = 344,682/x
  3. Step 3: Cross multiply
    157,669.88x = 344,682 × 344,682
  4. Step 4: Simplify right side
    157,669.88x = 118,805,681,124
  5. Step 5: Solve for x
    x = 118,805,681,124/157,669.88
  6. Step 6: Final answer
    x = 753,509.07

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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.