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Finding the Third Proportional to 157,747.50 and 340,929

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Solution

The third proportional to 157,747.50 and 340,929 is: 736,826.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,747.50 : 340,929 = 340,929 : x
  2. Step 2: Convert to fraction form
    157,747.50/340,929 = 340,929/x
  3. Step 3: Cross multiply
    157,747.50x = 340,929 × 340,929
  4. Step 4: Simplify right side
    157,747.50x = 116,232,583,041
  5. Step 5: Solve for x
    x = 116,232,583,041/157,747.50
  6. Step 6: Final answer
    x = 736,826.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.